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Finding the Fourth Proportional to 543,657.18, 815,513.85 and 138,853.17

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Solution

The fourth proportional to 543,657.18, 815,513.85 and 138,853.17 is: 208,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,657.18 : 815,513.85 = 138,853.17 : x
  2. Step 2: Convert to fraction form
    543,657.18/815,513.85 = 138,853.17/x
  3. Step 3: Cross multiply
    543,657.18x = 815,513.85 × 138,853.17
  4. Step 4: Simplify right side
    543,657.18x = 113,236,683,251.41
  5. Step 5: Solve for x
    x = 113,236,683,251.41/543,657.18
  6. Step 6: Final answer
    x = 208,286.93

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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.