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Finding the Fourth Proportional to 520,743.80, 781,698.90 and 402,937.40

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Solution

The fourth proportional to 520,743.80, 781,698.90 and 402,937.40 is: 604,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,743.80 : 781,698.90 = 402,937.40 : x
  2. Step 2: Convert to fraction form
    520,743.80/781,698.90 = 402,937.40/x
  3. Step 3: Cross multiply
    520,743.80x = 781,698.90 × 402,937.40
  4. Step 4: Simplify right side
    520,743.80x = 314,975,722,348.86
  5. Step 5: Solve for x
    x = 314,975,722,348.86/520,743.80
  6. Step 6: Final answer
    x = 604,857.36

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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.