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Finding the Fourth Proportional to 1,409,669.07, 1,945,345.05 and 765,089.16

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Solution

The fourth proportional to 1,409,669.07, 1,945,345.05 and 765,089.16 is: 1,055,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,669.07 : 1,945,345.05 = 765,089.16 : x
  2. Step 2: Convert to fraction form
    1,409,669.07/1,945,345.05 = 765,089.16/x
  3. Step 3: Cross multiply
    1,409,669.07x = 1,945,345.05 × 765,089.16
  4. Step 4: Simplify right side
    1,409,669.07x = 1,488,362,410,214.66
  5. Step 5: Solve for x
    x = 1,488,362,410,214.66/1,409,669.07
  6. Step 6: Final answer
    x = 1,055,823.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.