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Finding the Fourth Proportional to 256,516.90, 384,439.80 and 137,932.90

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Solution

The fourth proportional to 256,516.90, 384,439.80 and 137,932.90 is: 206,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,516.90 : 384,439.80 = 137,932.90 : x
  2. Step 2: Convert to fraction form
    256,516.90/384,439.80 = 137,932.90/x
  3. Step 3: Cross multiply
    256,516.90x = 384,439.80 × 137,932.90
  4. Step 4: Simplify right side
    256,516.90x = 53,026,896,489.42
  5. Step 5: Solve for x
    x = 53,026,896,489.42/256,516.90
  6. Step 6: Final answer
    x = 206,718.92

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1.5x scale

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.