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Finding the Fourth Proportional to 393,382.64, 542,938.80 and 232,228.24

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Solution

The fourth proportional to 393,382.64, 542,938.80 and 232,228.24 is: 320,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,382.64 : 542,938.80 = 232,228.24 : x
  2. Step 2: Convert to fraction form
    393,382.64/542,938.80 = 232,228.24/x
  3. Step 3: Cross multiply
    393,382.64x = 542,938.80 × 232,228.24
  4. Step 4: Simplify right side
    393,382.64x = 126,085,721,951.71
  5. Step 5: Solve for x
    x = 126,085,721,951.71/393,382.64
  6. Step 6: Final answer
    x = 320,516.74

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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.