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Finding the Fourth Proportional to 288,295.52, 397,847.68 and 160,971.04

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Solution

The fourth proportional to 288,295.52, 397,847.68 and 160,971.04 is: 222,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,295.52 : 397,847.68 = 160,971.04 : x
  2. Step 2: Convert to fraction form
    288,295.52/397,847.68 = 160,971.04/x
  3. Step 3: Cross multiply
    288,295.52x = 397,847.68 × 160,971.04
  4. Step 4: Simplify right side
    288,295.52x = 64,041,954,811.19
  5. Step 5: Solve for x
    x = 64,041,954,811.19/288,295.52
  6. Step 6: Final answer
    x = 222,139.96

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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.