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Finding the Fourth Proportional to 508,734.88, 763,217.52 and 271,952.80

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Solution

The fourth proportional to 508,734.88, 763,217.52 and 271,952.80 is: 407,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,734.88 : 763,217.52 = 271,952.80 : x
  2. Step 2: Convert to fraction form
    508,734.88/763,217.52 = 271,952.80/x
  3. Step 3: Cross multiply
    508,734.88x = 763,217.52 × 271,952.80
  4. Step 4: Simplify right side
    508,734.88x = 207,559,141,573.06
  5. Step 5: Solve for x
    x = 207,559,141,573.06/508,734.88
  6. Step 6: Final answer
    x = 407,990.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.