Home / 825,243,282,015.78-1,238,430,362,302.60-288,021,242,270.13

Finding the Fourth Proportional to 825,243,282,015.78, 1,238,430,362,302.60 and 288,021,242,270.13

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Solution

The fourth proportional to 825,243,282,015.78, 1,238,430,362,302.60 and 288,021,242,270.13 is: 432,229,209,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,243,282,015.78 : 1,238,430,362,302.60 = 288,021,242,270.13 : x
  2. Step 2: Convert to fraction form
    825,243,282,015.78/1,238,430,362,302.60 = 288,021,242,270.13/x
  3. Step 3: Cross multiply
    825,243,282,015.78x = 1,238,430,362,302.60 × 288,021,242,270.13
  4. Step 4: Simplify right side
    825,243,282,015.78x = 356,694,251,415,442,083,020,800
  5. Step 5: Solve for x
    x = 356,694,251,415,442,083,020,800/825,243,282,015.78
  6. Step 6: Final answer
    x = 432,229,209,481.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.