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Finding the Fourth Proportional to 413,084.40, 619,689.14 and 146,781.60

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Solution

The fourth proportional to 413,084.40, 619,689.14 and 146,781.60 is: 220,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,084.40 : 619,689.14 = 146,781.60 : x
  2. Step 2: Convert to fraction form
    413,084.40/619,689.14 = 146,781.60/x
  3. Step 3: Cross multiply
    413,084.40x = 619,689.14 × 146,781.60
  4. Step 4: Simplify right side
    413,084.40x = 90,958,962,737.92
  5. Step 5: Solve for x
    x = 90,958,962,737.92/413,084.40
  6. Step 6: Final answer
    x = 220,194.62

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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.