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Finding the Fourth Proportional to 428,523.75, 591,363.32 and 237,565.71

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Solution

The fourth proportional to 428,523.75, 591,363.32 and 237,565.71 is: 327,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,523.75 : 591,363.32 = 237,565.71 : x
  2. Step 2: Convert to fraction form
    428,523.75/591,363.32 = 237,565.71/x
  3. Step 3: Cross multiply
    428,523.75x = 591,363.32 × 237,565.71
  4. Step 4: Simplify right side
    428,523.75x = 140,487,645,795.93
  5. Step 5: Solve for x
    x = 140,487,645,795.93/428,523.75
  6. Step 6: Final answer
    x = 327,840.98

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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.