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Finding the Fourth Proportional to 398,005.38, 597,006.72 and 161,347.50

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Solution

The fourth proportional to 398,005.38, 597,006.72 and 161,347.50 is: 242,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,005.38 : 597,006.72 = 161,347.50 : x
  2. Step 2: Convert to fraction form
    398,005.38/597,006.72 = 161,347.50/x
  3. Step 3: Cross multiply
    398,005.38x = 597,006.72 × 161,347.50
  4. Step 4: Simplify right side
    398,005.38x = 96,325,541,755.20
  5. Step 5: Solve for x
    x = 96,325,541,755.20/398,005.38
  6. Step 6: Final answer
    x = 242,020.70

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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.