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Finding the Fourth Proportional to 256,507.76, 384,725.50 and 88,025.13

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Solution

The fourth proportional to 256,507.76, 384,725.50 and 88,025.13 is: 132,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,507.76 : 384,725.50 = 88,025.13 : x
  2. Step 2: Convert to fraction form
    256,507.76/384,725.50 = 88,025.13/x
  3. Step 3: Cross multiply
    256,507.76x = 384,725.50 × 88,025.13
  4. Step 4: Simplify right side
    256,507.76x = 33,865,511,931.75
  5. Step 5: Solve for x
    x = 33,865,511,931.75/256,507.76
  6. Step 6: Final answer
    x = 132,025.29

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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.