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Finding the Fourth Proportional to 486,041.28, 725,545.74 and 419,906.40

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Solution

The fourth proportional to 486,041.28, 725,545.74 and 419,906.40 is: 626,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,041.28 : 725,545.74 = 419,906.40 : x
  2. Step 2: Convert to fraction form
    486,041.28/725,545.74 = 419,906.40/x
  3. Step 3: Cross multiply
    486,041.28x = 725,545.74 × 419,906.40
  4. Step 4: Simplify right side
    486,041.28x = 304,661,299,718.74
  5. Step 5: Solve for x
    x = 304,661,299,718.74/486,041.28
  6. Step 6: Final answer
    x = 626,821.86

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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.