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Finding the Fourth Proportional to 397,371.20, 596,162.40 and 172,635.20

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Solution

The fourth proportional to 397,371.20, 596,162.40 and 172,635.20 is: 258,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,371.20 : 596,162.40 = 172,635.20 : x
  2. Step 2: Convert to fraction form
    397,371.20/596,162.40 = 172,635.20/x
  3. Step 3: Cross multiply
    397,371.20x = 596,162.40 × 172,635.20
  4. Step 4: Simplify right side
    397,371.20x = 102,918,615,156.48
  5. Step 5: Solve for x
    x = 102,918,615,156.48/397,371.20
  6. Step 6: Final answer
    x = 258,998.68

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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.