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Finding the Fourth Proportional to 778,177, 1,073,884.26 and 420,481

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Solution

The fourth proportional to 778,177, 1,073,884.26 and 420,481 is: 580,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,177 : 1,073,884.26 = 420,481 : x
  2. Step 2: Convert to fraction form
    778,177/1,073,884.26 = 420,481/x
  3. Step 3: Cross multiply
    778,177x = 1,073,884.26 × 420,481
  4. Step 4: Simplify right side
    778,177x = 451,547,927,529.06
  5. Step 5: Solve for x
    x = 451,547,927,529.06/778,177
  6. Step 6: Final answer
    x = 580,263.78

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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.