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Finding the Fourth Proportional to 275,715.40, 413,573.10 and 205,731.40

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Solution

The fourth proportional to 275,715.40, 413,573.10 and 205,731.40 is: 308,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,715.40 : 413,573.10 = 205,731.40 : x
  2. Step 2: Convert to fraction form
    275,715.40/413,573.10 = 205,731.40/x
  3. Step 3: Cross multiply
    275,715.40x = 413,573.10 × 205,731.40
  4. Step 4: Simplify right side
    275,715.40x = 85,084,972,865.34
  5. Step 5: Solve for x
    x = 85,084,972,865.34/275,715.40
  6. Step 6: Final answer
    x = 308,597.10

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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.