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Finding the Fourth Proportional to 515,706.48, 773,791.76 and 278,771.76

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Solution

The fourth proportional to 515,706.48, 773,791.76 and 278,771.76 is: 418,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,706.48 : 773,791.76 = 278,771.76 : x
  2. Step 2: Convert to fraction form
    515,706.48/773,791.76 = 278,771.76/x
  3. Step 3: Cross multiply
    515,706.48x = 773,791.76 × 278,771.76
  4. Step 4: Simplify right side
    515,706.48x = 215,711,290,808.70
  5. Step 5: Solve for x
    x = 215,711,290,808.70/515,706.48
  6. Step 6: Final answer
    x = 418,283.07

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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.