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Finding the Fourth Proportional to 288,116.32, 397,620.48 and 160,816.72

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Solution

The fourth proportional to 288,116.32, 397,620.48 and 160,816.72 is: 221,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,116.32 : 397,620.48 = 160,816.72 : x
  2. Step 2: Convert to fraction form
    288,116.32/397,620.48 = 160,816.72/x
  3. Step 3: Cross multiply
    288,116.32x = 397,620.48 × 160,816.72
  4. Step 4: Simplify right side
    288,116.32x = 63,944,021,398.43
  5. Step 5: Solve for x
    x = 63,944,021,398.43/288,116.32
  6. Step 6: Final answer
    x = 221,938.21

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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.