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Finding the Fourth Proportional to 457,765.88, 631,724.50 and 253,825.40

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Solution

The fourth proportional to 457,765.88, 631,724.50 and 253,825.40 is: 350,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,765.88 : 631,724.50 = 253,825.40 : x
  2. Step 2: Convert to fraction form
    457,765.88/631,724.50 = 253,825.40/x
  3. Step 3: Cross multiply
    457,765.88x = 631,724.50 × 253,825.40
  4. Step 4: Simplify right side
    457,765.88x = 160,347,723,902.30
  5. Step 5: Solve for x
    x = 160,347,723,902.30/457,765.88
  6. Step 6: Final answer
    x = 350,283.26

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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.