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Finding the Fourth Proportional to 281,886.57, 422,000.42 and 188,159.85

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Solution

The fourth proportional to 281,886.57, 422,000.42 and 188,159.85 is: 281,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,886.57 : 422,000.42 = 188,159.85 : x
  2. Step 2: Convert to fraction form
    281,886.57/422,000.42 = 188,159.85/x
  3. Step 3: Cross multiply
    281,886.57x = 422,000.42 × 188,159.85
  4. Step 4: Simplify right side
    281,886.57x = 79,403,534,786.34
  5. Step 5: Solve for x
    x = 79,403,534,786.34/281,886.57
  6. Step 6: Final answer
    x = 281,686.12

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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.