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Finding the Fourth Proportional to 291,850.80, 402,753.24 and 157,714.80

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Solution

The fourth proportional to 291,850.80, 402,753.24 and 157,714.80 is: 217,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,850.80 : 402,753.24 = 157,714.80 : x
  2. Step 2: Convert to fraction form
    291,850.80/402,753.24 = 157,714.80/x
  3. Step 3: Cross multiply
    291,850.80x = 402,753.24 × 157,714.80
  4. Step 4: Simplify right side
    291,850.80x = 63,520,146,695.95
  5. Step 5: Solve for x
    x = 63,520,146,695.95/291,850.80
  6. Step 6: Final answer
    x = 217,645.96

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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.