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Finding the Fourth Proportional to 224,493.78, 309,808.65 and 127,695.15

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Solution

The fourth proportional to 224,493.78, 309,808.65 and 127,695.15 is: 176,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,493.78 : 309,808.65 = 127,695.15 : x
  2. Step 2: Convert to fraction form
    224,493.78/309,808.65 = 127,695.15/x
  3. Step 3: Cross multiply
    224,493.78x = 309,808.65 × 127,695.15
  4. Step 4: Simplify right side
    224,493.78x = 39,561,062,033.05
  5. Step 5: Solve for x
    x = 39,561,062,033.05/224,493.78
  6. Step 6: Final answer
    x = 176,223.42

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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.