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Finding the Fourth Proportional to 278,362, 417,887.16 and 263,665.36

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Solution

The fourth proportional to 278,362, 417,887.16 and 263,665.36 is: 395,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,362 : 417,887.16 = 263,665.36 : x
  2. Step 2: Convert to fraction form
    278,362/417,887.16 = 263,665.36/x
  3. Step 3: Cross multiply
    278,362x = 417,887.16 × 263,665.36
  4. Step 4: Simplify right side
    278,362x = 110,182,368,480.78
  5. Step 5: Solve for x
    x = 110,182,368,480.78/278,362
  6. Step 6: Final answer
    x = 395,824.03

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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.