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Finding the Fourth Proportional to 295,686.80, 408,047.95 and 159,720.75

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Solution

The fourth proportional to 295,686.80, 408,047.95 and 159,720.75 is: 220,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,686.80 : 408,047.95 = 159,720.75 : x
  2. Step 2: Convert to fraction form
    295,686.80/408,047.95 = 159,720.75/x
  3. Step 3: Cross multiply
    295,686.80x = 408,047.95 × 159,720.75
  4. Step 4: Simplify right side
    295,686.80x = 65,173,724,609.96
  5. Step 5: Solve for x
    x = 65,173,724,609.96/295,686.80
  6. Step 6: Final answer
    x = 220,414.72

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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.