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Finding the Fourth Proportional to 299,835.36, 413,773.20 and 172,508.40

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Solution

The fourth proportional to 299,835.36, 413,773.20 and 172,508.40 is: 238,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,835.36 : 413,773.20 = 172,508.40 : x
  2. Step 2: Convert to fraction form
    299,835.36/413,773.20 = 172,508.40/x
  3. Step 3: Cross multiply
    299,835.36x = 413,773.20 × 172,508.40
  4. Step 4: Simplify right side
    299,835.36x = 71,379,352,694.88
  5. Step 5: Solve for x
    x = 71,379,352,694.88/299,835.36
  6. Step 6: Final answer
    x = 238,061.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.