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Finding the Fourth Proportional to 397,009.34, 595,179.08 and 172,200.42

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Solution

The fourth proportional to 397,009.34, 595,179.08 and 172,200.42 is: 258,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,009.34 : 595,179.08 = 172,200.42 : x
  2. Step 2: Convert to fraction form
    397,009.34/595,179.08 = 172,200.42/x
  3. Step 3: Cross multiply
    397,009.34x = 595,179.08 × 172,200.42
  4. Step 4: Simplify right side
    397,009.34x = 102,490,087,551.21
  5. Step 5: Solve for x
    x = 102,490,087,551.21/397,009.34
  6. Step 6: Final answer
    x = 258,155.36

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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.