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Finding the Fourth Proportional to 611,278.29, 916,874.13 and 161,989.20

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Solution

The fourth proportional to 611,278.29, 916,874.13 and 161,989.20 is: 242,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,278.29 : 916,874.13 = 161,989.20 : x
  2. Step 2: Convert to fraction form
    611,278.29/916,874.13 = 161,989.20/x
  3. Step 3: Cross multiply
    611,278.29x = 916,874.13 × 161,989.20
  4. Step 4: Simplify right side
    611,278.29x = 148,523,706,819.40
  5. Step 5: Solve for x
    x = 148,523,706,819.40/611,278.29
  6. Step 6: Final answer
    x = 242,972.32

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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.