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Finding the Fourth Proportional to 778,086, 1,073,758.68 and 420,390

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Solution

The fourth proportional to 778,086, 1,073,758.68 and 420,390 is: 580,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,086 : 1,073,758.68 = 420,390 : x
  2. Step 2: Convert to fraction form
    778,086/1,073,758.68 = 420,390/x
  3. Step 3: Cross multiply
    778,086x = 1,073,758.68 × 420,390
  4. Step 4: Simplify right side
    778,086x = 451,397,411,485.20
  5. Step 5: Solve for x
    x = 451,397,411,485.20/778,086
  6. Step 6: Final answer
    x = 580,138.20

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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.