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Finding the Fourth Proportional to 256,705.61, 385,084.13 and 88,203.74

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Solution

The fourth proportional to 256,705.61, 385,084.13 and 88,203.74 is: 132,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,705.61 : 385,084.13 = 88,203.74 : x
  2. Step 2: Convert to fraction form
    256,705.61/385,084.13 = 88,203.74/x
  3. Step 3: Cross multiply
    256,705.61x = 385,084.13 × 88,203.74
  4. Step 4: Simplify right side
    256,705.61x = 33,965,858,114.21
  5. Step 5: Solve for x
    x = 33,965,858,114.21/256,705.61
  6. Step 6: Final answer
    x = 132,314.44

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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.