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Finding the Fourth Proportional to 515,074.70, 772,834.04 and 278,583.86

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Solution

The fourth proportional to 515,074.70, 772,834.04 and 278,583.86 is: 417,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,074.70 : 772,834.04 = 278,583.86 : x
  2. Step 2: Convert to fraction form
    515,074.70/772,834.04 = 278,583.86/x
  3. Step 3: Cross multiply
    515,074.70x = 772,834.04 × 278,583.86
  4. Step 4: Simplify right side
    515,074.70x = 215,299,086,834.88
  5. Step 5: Solve for x
    x = 215,299,086,834.88/515,074.70
  6. Step 6: Final answer
    x = 417,995.85

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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.