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Finding the Fourth Proportional to 659,841.66, 989,753.85 and 161,209.98

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Solution

The fourth proportional to 659,841.66, 989,753.85 and 161,209.98 is: 241,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,841.66 : 989,753.85 = 161,209.98 : x
  2. Step 2: Convert to fraction form
    659,841.66/989,753.85 = 161,209.98/x
  3. Step 3: Cross multiply
    659,841.66x = 989,753.85 × 161,209.98
  4. Step 4: Simplify right side
    659,841.66x = 159,558,198,363.42
  5. Step 5: Solve for x
    x = 159,558,198,363.42/659,841.66
  6. Step 6: Final answer
    x = 241,812.86

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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.