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Finding the Fourth Proportional to 278,302.60, 417,416.78 and 78,641.08

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Solution

The fourth proportional to 278,302.60, 417,416.78 and 78,641.08 is: 117,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,302.60 : 417,416.78 = 78,641.08 : x
  2. Step 2: Convert to fraction form
    278,302.60/417,416.78 = 78,641.08/x
  3. Step 3: Cross multiply
    278,302.60x = 417,416.78 × 78,641.08
  4. Step 4: Simplify right side
    278,302.60x = 32,826,106,389.32
  5. Step 5: Solve for x
    x = 32,826,106,389.32/278,302.60
  6. Step 6: Final answer
    x = 117,951.13

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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.