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Finding the Fourth Proportional to 290,604.80, 400,984.08 and 163,285.76

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Solution

The fourth proportional to 290,604.80, 400,984.08 and 163,285.76 is: 225,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,604.80 : 400,984.08 = 163,285.76 : x
  2. Step 2: Convert to fraction form
    290,604.80/400,984.08 = 163,285.76/x
  3. Step 3: Cross multiply
    290,604.80x = 400,984.08 × 163,285.76
  4. Step 4: Simplify right side
    290,604.80x = 65,474,990,250.70
  5. Step 5: Solve for x
    x = 65,474,990,250.70/290,604.80
  6. Step 6: Final answer
    x = 225,305.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.