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Finding the Fourth Proportional to 542,443.49, 813,671.39 and 205,392.62

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Solution

The fourth proportional to 542,443.49, 813,671.39 and 205,392.62 is: 308,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,443.49 : 813,671.39 = 205,392.62 : x
  2. Step 2: Convert to fraction form
    542,443.49/813,671.39 = 205,392.62/x
  3. Step 3: Cross multiply
    542,443.49x = 813,671.39 × 205,392.62
  4. Step 4: Simplify right side
    542,443.49x = 167,122,093,515.82
  5. Step 5: Solve for x
    x = 167,122,093,515.82/542,443.49
  6. Step 6: Final answer
    x = 308,091.25

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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.