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Finding the Fourth Proportional to 687,470.64, 1,031,255.28 and 287,709

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Solution

The fourth proportional to 687,470.64, 1,031,255.28 and 287,709 is: 431,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,470.64 : 1,031,255.28 = 287,709 : x
  2. Step 2: Convert to fraction form
    687,470.64/1,031,255.28 = 287,709/x
  3. Step 3: Cross multiply
    687,470.64x = 1,031,255.28 × 287,709
  4. Step 4: Simplify right side
    687,470.64x = 296,701,425,353.52
  5. Step 5: Solve for x
    x = 296,701,425,353.52/687,470.64
  6. Step 6: Final answer
    x = 431,584.14

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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.