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Finding the Fourth Proportional to 324,729.68, 487,143 and 100,071.44

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Solution

The fourth proportional to 324,729.68, 487,143 and 100,071.44 is: 150,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,729.68 : 487,143 = 100,071.44 : x
  2. Step 2: Convert to fraction form
    324,729.68/487,143 = 100,071.44/x
  3. Step 3: Cross multiply
    324,729.68x = 487,143 × 100,071.44
  4. Step 4: Simplify right side
    324,729.68x = 48,749,101,495.92
  5. Step 5: Solve for x
    x = 48,749,101,495.92/324,729.68
  6. Step 6: Final answer
    x = 150,122.10

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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.