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Finding the Fourth Proportional to 508,730.88, 763,211.52 and 271,948.80

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Solution

The fourth proportional to 508,730.88, 763,211.52 and 271,948.80 is: 407,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,730.88 : 763,211.52 = 271,948.80 : x
  2. Step 2: Convert to fraction form
    508,730.88/763,211.52 = 271,948.80/x
  3. Step 3: Cross multiply
    508,730.88x = 763,211.52 × 271,948.80
  4. Step 4: Simplify right side
    508,730.88x = 207,554,457,010.18
  5. Step 5: Solve for x
    x = 207,554,457,010.18/508,730.88
  6. Step 6: Final answer
    x = 407,984.78

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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.