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Finding the Fourth Proportional to 299,663.09, 413,543.96 and 163,699.29

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Solution

The fourth proportional to 299,663.09, 413,543.96 and 163,699.29 is: 225,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,663.09 : 413,543.96 = 163,699.29 : x
  2. Step 2: Convert to fraction form
    299,663.09/413,543.96 = 163,699.29/x
  3. Step 3: Cross multiply
    299,663.09x = 413,543.96 × 163,699.29
  4. Step 4: Simplify right side
    299,663.09x = 67,696,852,635.79
  5. Step 5: Solve for x
    x = 67,696,852,635.79/299,663.09
  6. Step 6: Final answer
    x = 225,909.88

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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.