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Finding the Fourth Proportional to 342,824.78, 514,568.86 and 165,456.66

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Solution

The fourth proportional to 342,824.78, 514,568.86 and 165,456.66 is: 248,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,824.78 : 514,568.86 = 165,456.66 : x
  2. Step 2: Convert to fraction form
    342,824.78/514,568.86 = 165,456.66/x
  3. Step 3: Cross multiply
    342,824.78x = 514,568.86 × 165,456.66
  4. Step 4: Simplify right side
    342,824.78x = 85,138,844,915.61
  5. Step 5: Solve for x
    x = 85,138,844,915.61/342,824.78
  6. Step 6: Final answer
    x = 248,345.07

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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.