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Finding the Fourth Proportional to 502,332.40, 752,186.40 and 478,712.80

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Solution

The fourth proportional to 502,332.40, 752,186.40 and 478,712.80 is: 716,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,332.40 : 752,186.40 = 478,712.80 : x
  2. Step 2: Convert to fraction form
    502,332.40/752,186.40 = 478,712.80/x
  3. Step 3: Cross multiply
    502,332.40x = 752,186.40 × 478,712.80
  4. Step 4: Simplify right side
    502,332.40x = 360,081,257,665.92
  5. Step 5: Solve for x
    x = 360,081,257,665.92/502,332.40
  6. Step 6: Final answer
    x = 716,818.70

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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.