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Finding the Fourth Proportional to 709,785.24, 1,063,474.92 and 428,712

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Solution

The fourth proportional to 709,785.24, 1,063,474.92 and 428,712 is: 642,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,785.24 : 1,063,474.92 = 428,712 : x
  2. Step 2: Convert to fraction form
    709,785.24/1,063,474.92 = 428,712/x
  3. Step 3: Cross multiply
    709,785.24x = 1,063,474.92 × 428,712
  4. Step 4: Simplify right side
    709,785.24x = 455,924,459,903.04
  5. Step 5: Solve for x
    x = 455,924,459,903.04/709,785.24
  6. Step 6: Final answer
    x = 642,341.42

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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.