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Finding the Fourth Proportional to 397,009.80, 595,179.92 and 172,200.98

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Solution

The fourth proportional to 397,009.80, 595,179.92 and 172,200.98 is: 258,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,009.80 : 595,179.92 = 172,200.98 : x
  2. Step 2: Convert to fraction form
    397,009.80/595,179.92 = 172,200.98/x
  3. Step 3: Cross multiply
    397,009.80x = 595,179.92 × 172,200.98
  4. Step 4: Simplify right side
    397,009.80x = 102,490,565,500.32
  5. Step 5: Solve for x
    x = 102,490,565,500.32/397,009.80
  6. Step 6: Final answer
    x = 258,156.26

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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.