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Finding the Fourth Proportional to 295,690.30, 408,052.35 and 159,724.20

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Solution

The fourth proportional to 295,690.30, 408,052.35 and 159,724.20 is: 220,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,690.30 : 408,052.35 = 159,724.20 : x
  2. Step 2: Convert to fraction form
    295,690.30/408,052.35 = 159,724.20/x
  3. Step 3: Cross multiply
    295,690.30x = 408,052.35 × 159,724.20
  4. Step 4: Simplify right side
    295,690.30x = 65,175,835,161.87
  5. Step 5: Solve for x
    x = 65,175,835,161.87/295,690.30
  6. Step 6: Final answer
    x = 220,419.25

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1.5x scale

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.