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Finding the Fourth Proportional to 283,394, 391,083.72 and 156,069.32

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Solution

The fourth proportional to 283,394, 391,083.72 and 156,069.32 is: 215,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,394 : 391,083.72 = 156,069.32 : x
  2. Step 2: Convert to fraction form
    283,394/391,083.72 = 156,069.32/x
  3. Step 3: Cross multiply
    283,394x = 391,083.72 × 156,069.32
  4. Step 4: Simplify right side
    283,394x = 61,036,170,243.47
  5. Step 5: Solve for x
    x = 61,036,170,243.47/283,394
  6. Step 6: Final answer
    x = 215,375.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.