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Finding the Fourth Proportional to 247,143.24, 370,714.68 and 213,764.04

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Solution

The fourth proportional to 247,143.24, 370,714.68 and 213,764.04 is: 320,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,143.24 : 370,714.68 = 213,764.04 : x
  2. Step 2: Convert to fraction form
    247,143.24/370,714.68 = 213,764.04/x
  3. Step 3: Cross multiply
    247,143.24x = 370,714.68 × 213,764.04
  4. Step 4: Simplify right side
    247,143.24x = 79,245,467,684.11
  5. Step 5: Solve for x
    x = 79,245,467,684.11/247,143.24
  6. Step 6: Final answer
    x = 320,645.90

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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.