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Finding the Fourth Proportional to 428,332.30, 591,102.66 and 237,349.78

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Solution

The fourth proportional to 428,332.30, 591,102.66 and 237,349.78 is: 327,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,332.30 : 591,102.66 = 237,349.78 : x
  2. Step 2: Convert to fraction form
    428,332.30/591,102.66 = 237,349.78/x
  3. Step 3: Cross multiply
    428,332.30x = 591,102.66 × 237,349.78
  4. Step 4: Simplify right side
    428,332.30x = 140,298,086,308.42
  5. Step 5: Solve for x
    x = 140,298,086,308.42/428,332.30
  6. Step 6: Final answer
    x = 327,544.96

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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.