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Finding the Fourth Proportional to 256,216.59, 384,558.11 and 136,374.15

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Solution

The fourth proportional to 256,216.59, 384,558.11 and 136,374.15 is: 204,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,216.59 : 384,558.11 = 136,374.15 : x
  2. Step 2: Convert to fraction form
    256,216.59/384,558.11 = 136,374.15/x
  3. Step 3: Cross multiply
    256,216.59x = 384,558.11 × 136,374.15
  4. Step 4: Simplify right side
    256,216.59x = 52,443,785,376.86
  5. Step 5: Solve for x
    x = 52,443,785,376.86/256,216.59
  6. Step 6: Final answer
    x = 204,685.36

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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.