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Finding the Fourth Proportional to 299,666.76, 413,552.72 and 172,342.47

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Solution

The fourth proportional to 299,666.76, 413,552.72 and 172,342.47 is: 237,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,666.76 : 413,552.72 = 172,342.47 : x
  2. Step 2: Convert to fraction form
    299,666.76/413,552.72 = 172,342.47/x
  3. Step 3: Cross multiply
    299,666.76x = 413,552.72 × 172,342.47
  4. Step 4: Simplify right side
    299,666.76x = 71,272,696,378.31
  5. Step 5: Solve for x
    x = 71,272,696,378.31/299,666.76
  6. Step 6: Final answer
    x = 237,839.85

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1.5x scale

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.