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Finding the Fourth Proportional to 278,486.76, 417,746.15 and 78,790.40

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Solution

The fourth proportional to 278,486.76, 417,746.15 and 78,790.40 is: 118,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,486.76 : 417,746.15 = 78,790.40 : x
  2. Step 2: Convert to fraction form
    278,486.76/417,746.15 = 78,790.40/x
  3. Step 3: Cross multiply
    278,486.76x = 417,746.15 × 78,790.40
  4. Step 4: Simplify right side
    278,486.76x = 32,914,387,104.35
  5. Step 5: Solve for x
    x = 32,914,387,104.35/278,486.76
  6. Step 6: Final answer
    x = 118,190.13

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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.