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Finding the Fourth Proportional to 457,266.88, 631,067.05 and 253,381.76

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Solution

The fourth proportional to 457,266.88, 631,067.05 and 253,381.76 is: 349,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,266.88 : 631,067.05 = 253,381.76 : x
  2. Step 2: Convert to fraction form
    457,266.88/631,067.05 = 253,381.76/x
  3. Step 3: Cross multiply
    457,266.88x = 631,067.05 × 253,381.76
  4. Step 4: Simplify right side
    457,266.88x = 159,900,879,334.90
  5. Step 5: Solve for x
    x = 159,900,879,334.90/457,266.88
  6. Step 6: Final answer
    x = 349,688.30

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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.