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Finding the Fourth Proportional to 543,507.92, 815,313.72 and 211,109.84

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Solution

The fourth proportional to 543,507.92, 815,313.72 and 211,109.84 is: 316,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,507.92 : 815,313.72 = 211,109.84 : x
  2. Step 2: Convert to fraction form
    543,507.92/815,313.72 = 211,109.84/x
  3. Step 3: Cross multiply
    543,507.92x = 815,313.72 × 211,109.84
  4. Step 4: Simplify right side
    543,507.92x = 172,120,748,979.01
  5. Step 5: Solve for x
    x = 172,120,748,979.01/543,507.92
  6. Step 6: Final answer
    x = 316,684.90

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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.