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Finding the Fourth Proportional to 389,861.31, 538,010.23 and 211,013.31

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Solution

The fourth proportional to 389,861.31, 538,010.23 and 211,013.31 is: 291,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,861.31 : 538,010.23 = 211,013.31 : x
  2. Step 2: Convert to fraction form
    389,861.31/538,010.23 = 211,013.31/x
  3. Step 3: Cross multiply
    389,861.31x = 538,010.23 × 211,013.31
  4. Step 4: Simplify right side
    389,861.31x = 113,527,319,446.16
  5. Step 5: Solve for x
    x = 113,527,319,446.16/389,861.31
  6. Step 6: Final answer
    x = 291,199.25

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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.