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Finding the Fourth Proportional to 390,134.75, 538,385.96 and 211,286.75

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Solution

The fourth proportional to 390,134.75, 538,385.96 and 211,286.75 is: 291,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,134.75 : 538,385.96 = 211,286.75 : x
  2. Step 2: Convert to fraction form
    390,134.75/538,385.96 = 211,286.75/x
  3. Step 3: Cross multiply
    390,134.75x = 538,385.96 × 211,286.75
  4. Step 4: Simplify right side
    390,134.75x = 113,753,818,677.60
  5. Step 5: Solve for x
    x = 113,753,818,677.60/390,134.75
  6. Step 6: Final answer
    x = 291,575.72

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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.