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Finding the Fourth Proportional to 324,892.70, 487,266.15 and 213,355.70

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Solution

The fourth proportional to 324,892.70, 487,266.15 and 213,355.70 is: 319,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,892.70 : 487,266.15 = 213,355.70 : x
  2. Step 2: Convert to fraction form
    324,892.70/487,266.15 = 213,355.70/x
  3. Step 3: Cross multiply
    324,892.70x = 487,266.15 × 213,355.70
  4. Step 4: Simplify right side
    324,892.70x = 103,961,010,519.56
  5. Step 5: Solve for x
    x = 103,961,010,519.56/324,892.70
  6. Step 6: Final answer
    x = 319,985.68

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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.