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Finding the Fourth Proportional to 284,652.28, 392,806.02 and 157,324.60

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Solution

The fourth proportional to 284,652.28, 392,806.02 and 157,324.60 is: 217,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,652.28 : 392,806.02 = 157,324.60 : x
  2. Step 2: Convert to fraction form
    284,652.28/392,806.02 = 157,324.60/x
  3. Step 3: Cross multiply
    284,652.28x = 392,806.02 × 157,324.60
  4. Step 4: Simplify right side
    284,652.28x = 61,798,049,974.09
  5. Step 5: Solve for x
    x = 61,798,049,974.09/284,652.28
  6. Step 6: Final answer
    x = 217,100.14

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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.