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Finding the Fourth Proportional to 342,840.91, 514,593.06 and 165,472.78

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Solution

The fourth proportional to 342,840.91, 514,593.06 and 165,472.78 is: 248,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,840.91 : 514,593.06 = 165,472.78 : x
  2. Step 2: Convert to fraction form
    342,840.91/514,593.06 = 165,472.78/x
  3. Step 3: Cross multiply
    342,840.91x = 514,593.06 × 165,472.78
  4. Step 4: Simplify right side
    342,840.91x = 85,151,144,206.91
  5. Step 5: Solve for x
    x = 85,151,144,206.91/342,840.91
  6. Step 6: Final answer
    x = 248,369.26

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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.