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Finding the Fourth Proportional to 342,966.86, 514,508.00 and 126,838.25

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Solution

The fourth proportional to 342,966.86, 514,508.00 and 126,838.25 is: 190,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,966.86 : 514,508.00 = 126,838.25 : x
  2. Step 2: Convert to fraction form
    342,966.86/514,508.00 = 126,838.25/x
  3. Step 3: Cross multiply
    342,966.86x = 514,508.00 × 126,838.25
  4. Step 4: Simplify right side
    342,966.86x = 65,259,296,661.25
  5. Step 5: Solve for x
    x = 65,259,296,661.25/342,966.86
  6. Step 6: Final answer
    x = 190,278.73

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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.