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Finding the Fourth Proportional to 256,097.60, 383,656.80 and 137,729.60

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Solution

The fourth proportional to 256,097.60, 383,656.80 and 137,729.60 is: 206,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,097.60 : 383,656.80 = 137,729.60 : x
  2. Step 2: Convert to fraction form
    256,097.60/383,656.80 = 137,729.60/x
  3. Step 3: Cross multiply
    256,097.60x = 383,656.80 × 137,729.60
  4. Step 4: Simplify right side
    256,097.60x = 52,840,897,601.28
  5. Step 5: Solve for x
    x = 52,840,897,601.28/256,097.60
  6. Step 6: Final answer
    x = 206,331.09

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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.