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Finding the Fourth Proportional to 321,714.64, 482,494.20 and 134,866

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Solution

The fourth proportional to 321,714.64, 482,494.20 and 134,866 is: 202,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,714.64 : 482,494.20 = 134,866 : x
  2. Step 2: Convert to fraction form
    321,714.64/482,494.20 = 134,866/x
  3. Step 3: Cross multiply
    321,714.64x = 482,494.20 × 134,866
  4. Step 4: Simplify right side
    321,714.64x = 65,072,062,777.20
  5. Step 5: Solve for x
    x = 65,072,062,777.20/321,714.64
  6. Step 6: Final answer
    x = 202,266.40

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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.