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Finding the Fourth Proportional to 363,660.80, 545,102.40 and 163,947.20

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Solution

The fourth proportional to 363,660.80, 545,102.40 and 163,947.20 is: 245,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,660.80 : 545,102.40 = 163,947.20 : x
  2. Step 2: Convert to fraction form
    363,660.80/545,102.40 = 163,947.20/x
  3. Step 3: Cross multiply
    363,660.80x = 545,102.40 × 163,947.20
  4. Step 4: Simplify right side
    363,660.80x = 89,368,012,193.28
  5. Step 5: Solve for x
    x = 89,368,012,193.28/363,660.80
  6. Step 6: Final answer
    x = 245,745.52

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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.