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Finding the Fourth Proportional to 778,494, 1,074,321.84 and 420,798

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Solution

The fourth proportional to 778,494, 1,074,321.84 and 420,798 is: 580,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,494 : 1,074,321.84 = 420,798 : x
  2. Step 2: Convert to fraction form
    778,494/1,074,321.84 = 420,798/x
  3. Step 3: Cross multiply
    778,494x = 1,074,321.84 × 420,798
  4. Step 4: Simplify right side
    778,494x = 452,072,481,628.32
  5. Step 5: Solve for x
    x = 452,072,481,628.32/778,494
  6. Step 6: Final answer
    x = 580,701.30

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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.