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Finding the Fourth Proportional to 284,301.38, 392,325.60 and 156,974.24

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Solution

The fourth proportional to 284,301.38, 392,325.60 and 156,974.24 is: 216,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,301.38 : 392,325.60 = 156,974.24 : x
  2. Step 2: Convert to fraction form
    284,301.38/392,325.60 = 156,974.24/x
  3. Step 3: Cross multiply
    284,301.38x = 392,325.60 × 156,974.24
  4. Step 4: Simplify right side
    284,301.38x = 61,585,010,930.92
  5. Step 5: Solve for x
    x = 61,585,010,930.92/284,301.38
  6. Step 6: Final answer
    x = 216,618.76

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1.5x scale

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.