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Finding the Fourth Proportional to 397,123.12, 595,728.24 and 172,329.04

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Solution

The fourth proportional to 397,123.12, 595,728.24 and 172,329.04 is: 258,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,123.12 : 595,728.24 = 172,329.04 : x
  2. Step 2: Convert to fraction form
    397,123.12/595,728.24 = 172,329.04/x
  3. Step 3: Cross multiply
    397,123.12x = 595,728.24 × 172,329.04
  4. Step 4: Simplify right side
    397,123.12x = 102,661,275,700.09
  5. Step 5: Solve for x
    x = 102,661,275,700.09/397,123.12
  6. Step 6: Final answer
    x = 258,512.46

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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.