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Finding the Fourth Proportional to 288,115.92, 397,622.49 and 160,810.65

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Solution

The fourth proportional to 288,115.92, 397,622.49 and 160,810.65 is: 221,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,115.92 : 397,622.49 = 160,810.65 : x
  2. Step 2: Convert to fraction form
    288,115.92/397,622.49 = 160,810.65/x
  3. Step 3: Cross multiply
    288,115.92x = 397,622.49 × 160,810.65
  4. Step 4: Simplify right side
    288,115.92x = 63,941,931,071.52
  5. Step 5: Solve for x
    x = 63,941,931,071.52/288,115.92
  6. Step 6: Final answer
    x = 221,931.27

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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.