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Finding the Fourth Proportional to 285,564.76, 428,401.21 and 114,799.70

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Solution

The fourth proportional to 285,564.76, 428,401.21 and 114,799.70 is: 172,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564.76 : 428,401.21 = 114,799.70 : x
  2. Step 2: Convert to fraction form
    285,564.76/428,401.21 = 114,799.70/x
  3. Step 3: Cross multiply
    285,564.76x = 428,401.21 × 114,799.70
  4. Step 4: Simplify right side
    285,564.76x = 49,180,331,171.64
  5. Step 5: Solve for x
    x = 49,180,331,171.64/285,564.76
  6. Step 6: Final answer
    x = 172,221.29

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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.