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Finding the Fourth Proportional to 465,351.71, 642,254.78 and 284,168.66

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Solution

The fourth proportional to 465,351.71, 642,254.78 and 284,168.66 is: 392,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,351.71 : 642,254.78 = 284,168.66 : x
  2. Step 2: Convert to fraction form
    465,351.71/642,254.78 = 284,168.66/x
  3. Step 3: Cross multiply
    465,351.71x = 642,254.78 × 284,168.66
  4. Step 4: Simplify right side
    465,351.71x = 182,508,675,579.08
  5. Step 5: Solve for x
    x = 182,508,675,579.08/465,351.71
  6. Step 6: Final answer
    x = 392,195.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.