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Finding the Fourth Proportional to 484,475.40, 727,145.10 and 284,545.80

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Solution

The fourth proportional to 484,475.40, 727,145.10 and 284,545.80 is: 427,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,475.40 : 727,145.10 = 284,545.80 : x
  2. Step 2: Convert to fraction form
    484,475.40/727,145.10 = 284,545.80/x
  3. Step 3: Cross multiply
    484,475.40x = 727,145.10 × 284,545.80
  4. Step 4: Simplify right side
    484,475.40x = 206,906,084,195.58
  5. Step 5: Solve for x
    x = 206,906,084,195.58/484,475.40
  6. Step 6: Final answer
    x = 427,072.43

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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.