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Finding the Fourth Proportional to 324,892.20, 487,265.40 and 213,355.20

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Solution

The fourth proportional to 324,892.20, 487,265.40 and 213,355.20 is: 319,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,892.20 : 487,265.40 = 213,355.20 : x
  2. Step 2: Convert to fraction form
    324,892.20/487,265.40 = 213,355.20/x
  3. Step 3: Cross multiply
    324,892.20x = 487,265.40 × 213,355.20
  4. Step 4: Simplify right side
    324,892.20x = 103,960,606,870.08
  5. Step 5: Solve for x
    x = 103,960,606,870.08/324,892.20
  6. Step 6: Final answer
    x = 319,984.93

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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.