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Finding the Fourth Proportional to 281,242.64, 422,155.56 and 188,397.20

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Solution

The fourth proportional to 281,242.64, 422,155.56 and 188,397.20 is: 282,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,242.64 : 422,155.56 = 188,397.20 : x
  2. Step 2: Convert to fraction form
    281,242.64/422,155.56 = 188,397.20/x
  3. Step 3: Cross multiply
    281,242.64x = 422,155.56 × 188,397.20
  4. Step 4: Simplify right side
    281,242.64x = 79,532,925,468.43
  5. Step 5: Solve for x
    x = 79,532,925,468.43/281,242.64
  6. Step 6: Final answer
    x = 282,791.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.