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Finding the Fourth Proportional to 411,098.20, 616,922.70 and 144,859.30

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Solution

The fourth proportional to 411,098.20, 616,922.70 and 144,859.30 is: 217,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,098.20 : 616,922.70 = 144,859.30 : x
  2. Step 2: Convert to fraction form
    411,098.20/616,922.70 = 144,859.30/x
  3. Step 3: Cross multiply
    411,098.20x = 616,922.70 × 144,859.30
  4. Step 4: Simplify right side
    411,098.20x = 89,366,990,476.11
  5. Step 5: Solve for x
    x = 89,366,990,476.11/411,098.20
  6. Step 6: Final answer
    x = 217,385.99

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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.