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Finding the Fourth Proportional to 777,780, 1,073,337.12 and 420,084

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Solution

The fourth proportional to 777,780, 1,073,337.12 and 420,084 is: 579,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,780 : 1,073,337.12 = 420,084 : x
  2. Step 2: Convert to fraction form
    777,780/1,073,337.12 = 420,084/x
  3. Step 3: Cross multiply
    777,780x = 1,073,337.12 × 420,084
  4. Step 4: Simplify right side
    777,780x = 450,891,750,718.08
  5. Step 5: Solve for x
    x = 450,891,750,718.08/777,780
  6. Step 6: Final answer
    x = 579,716.31

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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.