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Finding the Fourth Proportional to 288,049.96, 397,528.14 and 160,728.28

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Solution

The fourth proportional to 288,049.96, 397,528.14 and 160,728.28 is: 221,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,049.96 : 397,528.14 = 160,728.28 : x
  2. Step 2: Convert to fraction form
    288,049.96/397,528.14 = 160,728.28/x
  3. Step 3: Cross multiply
    288,049.96x = 397,528.14 × 160,728.28
  4. Step 4: Simplify right side
    288,049.96x = 63,894,014,193.80
  5. Step 5: Solve for x
    x = 63,894,014,193.80/288,049.96
  6. Step 6: Final answer
    x = 221,815.74

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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.