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Finding the Fourth Proportional to 288,478.64, 398,051.88 and 161,155.28

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Solution

The fourth proportional to 288,478.64, 398,051.88 and 161,155.28 is: 222,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,478.64 : 398,051.88 = 161,155.28 : x
  2. Step 2: Convert to fraction form
    288,478.64/398,051.88 = 161,155.28/x
  3. Step 3: Cross multiply
    288,478.64x = 398,051.88 × 161,155.28
  4. Step 4: Simplify right side
    288,478.64x = 64,148,162,175.93
  5. Step 5: Solve for x
    x = 64,148,162,175.93/288,478.64
  6. Step 6: Final answer
    x = 222,367.11

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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.