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Finding the Fourth Proportional to 223,898.90, 335,265.15 and 213,401.30

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Solution

The fourth proportional to 223,898.90, 335,265.15 and 213,401.30 is: 319,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,898.90 : 335,265.15 = 213,401.30 : x
  2. Step 2: Convert to fraction form
    223,898.90/335,265.15 = 213,401.30/x
  3. Step 3: Cross multiply
    223,898.90x = 335,265.15 × 213,401.30
  4. Step 4: Simplify right side
    223,898.90x = 71,546,018,854.70
  5. Step 5: Solve for x
    x = 71,546,018,854.70/223,898.90
  6. Step 6: Final answer
    x = 319,546.09

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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.