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Finding the Fourth Proportional to 778,446, 1,074,255.60 and 420,750

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Solution

The fourth proportional to 778,446, 1,074,255.60 and 420,750 is: 580,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,446 : 1,074,255.60 = 420,750 : x
  2. Step 2: Convert to fraction form
    778,446/1,074,255.60 = 420,750/x
  3. Step 3: Cross multiply
    778,446x = 1,074,255.60 × 420,750
  4. Step 4: Simplify right side
    778,446x = 451,993,043,700.00
  5. Step 5: Solve for x
    x = 451,993,043,700.00/778,446
  6. Step 6: Final answer
    x = 580,635.06

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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.