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Finding the Fourth Proportional to 342,805.91, 514,540.55 and 165,437.78

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Solution

The fourth proportional to 342,805.91, 514,540.55 and 165,437.78 is: 248,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,805.91 : 514,540.55 = 165,437.78 : x
  2. Step 2: Convert to fraction form
    342,805.91/514,540.55 = 165,437.78/x
  3. Step 3: Cross multiply
    342,805.91x = 514,540.55 × 165,437.78
  4. Step 4: Simplify right side
    342,805.91x = 85,124,444,152.87
  5. Step 5: Solve for x
    x = 85,124,444,152.87/342,805.91
  6. Step 6: Final answer
    x = 248,316.74

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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.