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Finding the Fourth Proportional to 778,176, 1,073,882.88 and 420,480

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Solution

The fourth proportional to 778,176, 1,073,882.88 and 420,480 is: 580,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,176 : 1,073,882.88 = 420,480 : x
  2. Step 2: Convert to fraction form
    778,176/1,073,882.88 = 420,480/x
  3. Step 3: Cross multiply
    778,176x = 1,073,882.88 × 420,480
  4. Step 4: Simplify right side
    778,176x = 451,546,273,382.40
  5. Step 5: Solve for x
    x = 451,546,273,382.40/778,176
  6. Step 6: Final answer
    x = 580,262.40

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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.