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Finding the Fourth Proportional to 457,701.48, 631,648.02 and 253,739.42

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Solution

The fourth proportional to 457,701.48, 631,648.02 and 253,739.42 is: 350,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,701.48 : 631,648.02 = 253,739.42 : x
  2. Step 2: Convert to fraction form
    457,701.48/631,648.02 = 253,739.42/x
  3. Step 3: Cross multiply
    457,701.48x = 631,648.02 × 253,739.42
  4. Step 4: Simplify right side
    457,701.48x = 160,274,002,238.95
  5. Step 5: Solve for x
    x = 160,274,002,238.95/457,701.48
  6. Step 6: Final answer
    x = 350,171.47

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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.