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Finding the Fourth Proportional to 490,416, 731,332.38 and 485,931.78

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Solution

The fourth proportional to 490,416, 731,332.38 and 485,931.78 is: 724,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,416 : 731,332.38 = 485,931.78 : x
  2. Step 2: Convert to fraction form
    490,416/731,332.38 = 485,931.78/x
  3. Step 3: Cross multiply
    490,416x = 731,332.38 × 485,931.78
  4. Step 4: Simplify right side
    490,416x = 355,377,645,185.04
  5. Step 5: Solve for x
    x = 355,377,645,185.04/490,416
  6. Step 6: Final answer
    x = 724,645.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.