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Finding the Fourth Proportional to 431,714.12, 647,569.02 and 116,145.32

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Solution

The fourth proportional to 431,714.12, 647,569.02 and 116,145.32 is: 174,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,714.12 : 647,569.02 = 116,145.32 : x
  2. Step 2: Convert to fraction form
    431,714.12/647,569.02 = 116,145.32/x
  3. Step 3: Cross multiply
    431,714.12x = 647,569.02 × 116,145.32
  4. Step 4: Simplify right side
    431,714.12x = 75,212,111,049.99
  5. Step 5: Solve for x
    x = 75,212,111,049.99/431,714.12
  6. Step 6: Final answer
    x = 174,217.40

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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.