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Finding the Fourth Proportional to 411,700.20, 617,929.18 and 212,158.12

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Solution

The fourth proportional to 411,700.20, 617,929.18 and 212,158.12 is: 318,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,700.20 : 617,929.18 = 212,158.12 : x
  2. Step 2: Convert to fraction form
    411,700.20/617,929.18 = 212,158.12/x
  3. Step 3: Cross multiply
    411,700.20x = 617,929.18 × 212,158.12
  4. Step 4: Simplify right side
    411,700.20x = 131,098,693,121.94
  5. Step 5: Solve for x
    x = 131,098,693,121.94/411,700.20
  6. Step 6: Final answer
    x = 318,432.43

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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.