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Finding the Fourth Proportional to 299,415.48, 413,276.76 and 172,132.08

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Solution

The fourth proportional to 299,415.48, 413,276.76 and 172,132.08 is: 237,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,415.48 : 413,276.76 = 172,132.08 : x
  2. Step 2: Convert to fraction form
    299,415.48/413,276.76 = 172,132.08/x
  3. Step 3: Cross multiply
    299,415.48x = 413,276.76 × 172,132.08
  4. Step 4: Simplify right side
    299,415.48x = 71,138,188,314.46
  5. Step 5: Solve for x
    x = 71,138,188,314.46/299,415.48
  6. Step 6: Final answer
    x = 237,590.22

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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.