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Finding the Fourth Proportional to 288,099.92, 397,530.32 and 160,775.20

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Solution

The fourth proportional to 288,099.92, 397,530.32 and 160,775.20 is: 221,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,099.92 : 397,530.32 = 160,775.20 : x
  2. Step 2: Convert to fraction form
    288,099.92/397,530.32 = 160,775.20/x
  3. Step 3: Cross multiply
    288,099.92x = 397,530.32 × 160,775.20
  4. Step 4: Simplify right side
    288,099.92x = 63,913,016,704.06
  5. Step 5: Solve for x
    x = 63,913,016,704.06/288,099.92
  6. Step 6: Final answer
    x = 221,843.23

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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.