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Finding the Fourth Proportional to 256,407.52, 384,600.12 and 78,932.56

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Solution

The fourth proportional to 256,407.52, 384,600.12 and 78,932.56 is: 118,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407.52 : 384,600.12 = 78,932.56 : x
  2. Step 2: Convert to fraction form
    256,407.52/384,600.12 = 78,932.56/x
  3. Step 3: Cross multiply
    256,407.52x = 384,600.12 × 78,932.56
  4. Step 4: Simplify right side
    256,407.52x = 30,357,472,047.91
  5. Step 5: Solve for x
    x = 30,357,472,047.91/256,407.52
  6. Step 6: Final answer
    x = 118,395.40

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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.