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Finding the Fourth Proportional to 514,891.76, 772,118.76 and 278,170.64

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Solution

The fourth proportional to 514,891.76, 772,118.76 and 278,170.64 is: 417,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,891.76 : 772,118.76 = 278,170.64 : x
  2. Step 2: Convert to fraction form
    514,891.76/772,118.76 = 278,170.64/x
  3. Step 3: Cross multiply
    514,891.76x = 772,118.76 × 278,170.64
  4. Step 4: Simplify right side
    514,891.76x = 214,780,769,625.21
  5. Step 5: Solve for x
    x = 214,780,769,625.21/514,891.76
  6. Step 6: Final answer
    x = 417,137.71

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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.