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Finding the Fourth Proportional to 644,714.10, 966,730.95 and 218,103.30

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Solution

The fourth proportional to 644,714.10, 966,730.95 and 218,103.30 is: 327,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,714.10 : 966,730.95 = 218,103.30 : x
  2. Step 2: Convert to fraction form
    644,714.10/966,730.95 = 218,103.30/x
  3. Step 3: Cross multiply
    644,714.10x = 966,730.95 × 218,103.30
  4. Step 4: Simplify right side
    644,714.10x = 210,847,210,407.14
  5. Step 5: Solve for x
    x = 210,847,210,407.14/644,714.10
  6. Step 6: Final answer
    x = 327,039.86

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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.