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Finding the Fourth Proportional to 278,482.78, 417,726.42 and 78,809.68

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Solution

The fourth proportional to 278,482.78, 417,726.42 and 78,809.68 is: 118,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,482.78 : 417,726.42 = 78,809.68 : x
  2. Step 2: Convert to fraction form
    278,482.78/417,726.42 = 78,809.68/x
  3. Step 3: Cross multiply
    278,482.78x = 417,726.42 × 78,809.68
  4. Step 4: Simplify right side
    278,482.78x = 32,920,885,487.75
  5. Step 5: Solve for x
    x = 32,920,885,487.75/278,482.78
  6. Step 6: Final answer
    x = 118,215.16

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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.