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Finding the Fourth Proportional to 342,407.31, 513,510.66 and 129,021.27

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Solution

The fourth proportional to 342,407.31, 513,510.66 and 129,021.27 is: 193,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,407.31 : 513,510.66 = 129,021.27 : x
  2. Step 2: Convert to fraction form
    342,407.31/513,510.66 = 129,021.27/x
  3. Step 3: Cross multiply
    342,407.31x = 513,510.66 × 129,021.27
  4. Step 4: Simplify right side
    342,407.31x = 66,253,797,511.74
  5. Step 5: Solve for x
    x = 66,253,797,511.74/342,407.31
  6. Step 6: Final answer
    x = 193,494.11

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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.