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Finding the Fourth Proportional to 278,482.28, 417,725.67 and 78,809.18

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Solution

The fourth proportional to 278,482.28, 417,725.67 and 78,809.18 is: 118,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,482.28 : 417,725.67 = 78,809.18 : x
  2. Step 2: Convert to fraction form
    278,482.28/417,725.67 = 78,809.18/x
  3. Step 3: Cross multiply
    278,482.28x = 417,725.67 × 78,809.18
  4. Step 4: Simplify right side
    278,482.28x = 32,920,617,517.65
  5. Step 5: Solve for x
    x = 32,920,617,517.65/278,482.28
  6. Step 6: Final answer
    x = 118,214.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.