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Finding the Fourth Proportional to 768,081.15, 1,059,929.96 and 428,542.11

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Solution

The fourth proportional to 768,081.15, 1,059,929.96 and 428,542.11 is: 591,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,081.15 : 1,059,929.96 = 428,542.11 : x
  2. Step 2: Convert to fraction form
    768,081.15/1,059,929.96 = 428,542.11/x
  3. Step 3: Cross multiply
    768,081.15x = 1,059,929.96 × 428,542.11
  4. Step 4: Simplify right side
    768,081.15x = 454,224,619,367.91
  5. Step 5: Solve for x
    x = 454,224,619,367.91/768,081.15
  6. Step 6: Final answer
    x = 591,375.82

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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.