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Finding the Fourth Proportional to 611,158.20, 916,517.70 and 211,691.40

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Solution

The fourth proportional to 611,158.20, 916,517.70 and 211,691.40 is: 317,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,158.20 : 916,517.70 = 211,691.40 : x
  2. Step 2: Convert to fraction form
    611,158.20/916,517.70 = 211,691.40/x
  3. Step 3: Cross multiply
    611,158.20x = 916,517.70 × 211,691.40
  4. Step 4: Simplify right side
    611,158.20x = 194,018,915,037.78
  5. Step 5: Solve for x
    x = 194,018,915,037.78/611,158.20
  6. Step 6: Final answer
    x = 317,461.04

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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.