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Finding the Fourth Proportional to 287,942.12, 431,728.17 and 119,578.58

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Solution

The fourth proportional to 287,942.12, 431,728.17 and 119,578.58 is: 179,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,942.12 : 431,728.17 = 119,578.58 : x
  2. Step 2: Convert to fraction form
    287,942.12/431,728.17 = 119,578.58/x
  3. Step 3: Cross multiply
    287,942.12x = 431,728.17 × 119,578.58
  4. Step 4: Simplify right side
    287,942.12x = 51,625,441,514.60
  5. Step 5: Solve for x
    x = 51,625,441,514.60/287,942.12
  6. Step 6: Final answer
    x = 179,291.04

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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.