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Finding the Fourth Proportional to 253,301.98, 379,453.62 and 205,970.50

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Solution

The fourth proportional to 253,301.98, 379,453.62 and 205,970.50 is: 308,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,301.98 : 379,453.62 = 205,970.50 : x
  2. Step 2: Convert to fraction form
    253,301.98/379,453.62 = 205,970.50/x
  3. Step 3: Cross multiply
    253,301.98x = 379,453.62 × 205,970.50
  4. Step 4: Simplify right side
    253,301.98x = 78,156,251,838.21
  5. Step 5: Solve for x
    x = 78,156,251,838.21/253,301.98
  6. Step 6: Final answer
    x = 308,549.71

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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.