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Finding the Fourth Proportional to 281,877.76, 422,373.16 and 217,992.28

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Solution

The fourth proportional to 281,877.76, 422,373.16 and 217,992.28 is: 326,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,877.76 : 422,373.16 = 217,992.28 : x
  2. Step 2: Convert to fraction form
    281,877.76/422,373.16 = 217,992.28/x
  3. Step 3: Cross multiply
    281,877.76x = 422,373.16 × 217,992.28
  4. Step 4: Simplify right side
    281,877.76x = 92,074,088,159.20
  5. Step 5: Solve for x
    x = 92,074,088,159.20/281,877.76
  6. Step 6: Final answer
    x = 326,645.45

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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.