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Finding the Fourth Proportional to 397,377.20, 596,171.40 and 172,641.20

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Solution

The fourth proportional to 397,377.20, 596,171.40 and 172,641.20 is: 259,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,377.20 : 596,171.40 = 172,641.20 : x
  2. Step 2: Convert to fraction form
    397,377.20/596,171.40 = 172,641.20/x
  3. Step 3: Cross multiply
    397,377.20x = 596,171.40 × 172,641.20
  4. Step 4: Simplify right side
    397,377.20x = 102,923,745,901.68
  5. Step 5: Solve for x
    x = 102,923,745,901.68/397,377.20
  6. Step 6: Final answer
    x = 259,007.68

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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.