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Finding the Fourth Proportional to 278,391.60, 417,295.80 and 109,846.80

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Solution

The fourth proportional to 278,391.60, 417,295.80 and 109,846.80 is: 164,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,391.60 : 417,295.80 = 109,846.80 : x
  2. Step 2: Convert to fraction form
    278,391.60/417,295.80 = 109,846.80/x
  3. Step 3: Cross multiply
    278,391.60x = 417,295.80 × 109,846.80
  4. Step 4: Simplify right side
    278,391.60x = 45,838,608,283.44
  5. Step 5: Solve for x
    x = 45,838,608,283.44/278,391.60
  6. Step 6: Final answer
    x = 164,655.14

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1.5x scale

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.