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Finding the Fourth Proportional to 428,351.22, 591,142.86 and 237,364.02

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Solution

The fourth proportional to 428,351.22, 591,142.86 and 237,364.02 is: 327,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,351.22 : 591,142.86 = 237,364.02 : x
  2. Step 2: Convert to fraction form
    428,351.22/591,142.86 = 237,364.02/x
  3. Step 3: Cross multiply
    428,351.22x = 591,142.86 × 237,364.02
  4. Step 4: Simplify right side
    428,351.22x = 140,316,045,643.90
  5. Step 5: Solve for x
    x = 140,316,045,643.90/428,351.22
  6. Step 6: Final answer
    x = 327,572.42

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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.