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Finding the Fourth Proportional to 242,634.34, 334,842.42 and 140,660.20

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Solution

The fourth proportional to 242,634.34, 334,842.42 and 140,660.20 is: 194,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,634.34 : 334,842.42 = 140,660.20 : x
  2. Step 2: Convert to fraction form
    242,634.34/334,842.42 = 140,660.20/x
  3. Step 3: Cross multiply
    242,634.34x = 334,842.42 × 140,660.20
  4. Step 4: Simplify right side
    242,634.34x = 47,099,001,765.68
  5. Step 5: Solve for x
    x = 47,099,001,765.68/242,634.34
  6. Step 6: Final answer
    x = 194,115.15

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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.