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Finding the Fourth Proportional to 427,333.47, 641,001.29 and 174,613.96

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Solution

The fourth proportional to 427,333.47, 641,001.29 and 174,613.96 is: 261,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,333.47 : 641,001.29 = 174,613.96 : x
  2. Step 2: Convert to fraction form
    427,333.47/641,001.29 = 174,613.96/x
  3. Step 3: Cross multiply
    427,333.47x = 641,001.29 × 174,613.96
  4. Step 4: Simplify right side
    427,333.47x = 111,927,772,446.04
  5. Step 5: Solve for x
    x = 111,927,772,446.04/427,333.47
  6. Step 6: Final answer
    x = 261,921.38

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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.