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Finding the Fourth Proportional to 543,211.89, 749,725.17 and 313,727.92

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Solution

The fourth proportional to 543,211.89, 749,725.17 and 313,727.92 is: 432,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,211.89 : 749,725.17 = 313,727.92 : x
  2. Step 2: Convert to fraction form
    543,211.89/749,725.17 = 313,727.92/x
  3. Step 3: Cross multiply
    543,211.89x = 749,725.17 × 313,727.92
  4. Step 4: Simplify right side
    543,211.89x = 235,209,718,155.75
  5. Step 5: Solve for x
    x = 235,209,718,155.75/543,211.89
  6. Step 6: Final answer
    x = 432,998.10

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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.