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Finding the Fourth Proportional to 397,197.44, 595,460.52 and 172,387.88

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Solution

The fourth proportional to 397,197.44, 595,460.52 and 172,387.88 is: 258,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,197.44 : 595,460.52 = 172,387.88 : x
  2. Step 2: Convert to fraction form
    397,197.44/595,460.52 = 172,387.88/x
  3. Step 3: Cross multiply
    397,197.44x = 595,460.52 × 172,387.88
  4. Step 4: Simplify right side
    397,197.44x = 102,650,176,666.50
  5. Step 5: Solve for x
    x = 102,650,176,666.50/397,197.44
  6. Step 6: Final answer
    x = 258,436.15

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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.