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Finding the Fourth Proportional to 287,519.82, 431,104.05 and 137,805.90

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Solution

The fourth proportional to 287,519.82, 431,104.05 and 137,805.90 is: 206,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,519.82 : 431,104.05 = 137,805.90 : x
  2. Step 2: Convert to fraction form
    287,519.82/431,104.05 = 137,805.90/x
  3. Step 3: Cross multiply
    287,519.82x = 431,104.05 × 137,805.90
  4. Step 4: Simplify right side
    287,519.82x = 59,408,681,603.90
  5. Step 5: Solve for x
    x = 59,408,681,603.90/287,519.82
  6. Step 6: Final answer
    x = 206,624.65

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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.