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Finding the Fourth Proportional to 288,172.92, 397,684.62 and 160,853.88

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Solution

The fourth proportional to 288,172.92, 397,684.62 and 160,853.88 is: 221,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,172.92 : 397,684.62 = 160,853.88 : x
  2. Step 2: Convert to fraction form
    288,172.92/397,684.62 = 160,853.88/x
  3. Step 3: Cross multiply
    288,172.92x = 397,684.62 × 160,853.88
  4. Step 4: Simplify right side
    288,172.92x = 63,969,114,143.33
  5. Step 5: Solve for x
    x = 63,969,114,143.33/288,172.92
  6. Step 6: Final answer
    x = 221,981.70

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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.