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Finding the Fourth Proportional to 567,419.85, 783,035.33 and 312,770.61

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Solution

The fourth proportional to 567,419.85, 783,035.33 and 312,770.61 is: 431,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,419.85 : 783,035.33 = 312,770.61 : x
  2. Step 2: Convert to fraction form
    567,419.85/783,035.33 = 312,770.61/x
  3. Step 3: Cross multiply
    567,419.85x = 783,035.33 × 312,770.61
  4. Step 4: Simplify right side
    567,419.85x = 244,910,436,251.80
  5. Step 5: Solve for x
    x = 244,910,436,251.80/567,419.85
  6. Step 6: Final answer
    x = 431,621.20

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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.