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Finding the Fourth Proportional to 428,790.12, 591,766.68 and 237,865

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Solution

The fourth proportional to 428,790.12, 591,766.68 and 237,865 is: 328,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,790.12 : 591,766.68 = 237,865 : x
  2. Step 2: Convert to fraction form
    428,790.12/591,766.68 = 237,865/x
  3. Step 3: Cross multiply
    428,790.12x = 591,766.68 × 237,865
  4. Step 4: Simplify right side
    428,790.12x = 140,760,581,338.20
  5. Step 5: Solve for x
    x = 140,760,581,338.20/428,790.12
  6. Step 6: Final answer
    x = 328,273.84

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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.