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Finding the Fourth Proportional to 224,761.50, 310,179.78 and 129,268.08

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Solution

The fourth proportional to 224,761.50, 310,179.78 and 129,268.08 is: 178,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,761.50 : 310,179.78 = 129,268.08 : x
  2. Step 2: Convert to fraction form
    224,761.50/310,179.78 = 129,268.08/x
  3. Step 3: Cross multiply
    224,761.50x = 310,179.78 × 129,268.08
  4. Step 4: Simplify right side
    224,761.50x = 40,096,344,615.42
  5. Step 5: Solve for x
    x = 40,096,344,615.42/224,761.50
  6. Step 6: Final answer
    x = 178,395.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.