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Finding the Fourth Proportional to 275,865.40, 413,798.10 and 205,881.40

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Solution

The fourth proportional to 275,865.40, 413,798.10 and 205,881.40 is: 308,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,865.40 : 413,798.10 = 205,881.40 : x
  2. Step 2: Convert to fraction form
    275,865.40/413,798.10 = 205,881.40/x
  3. Step 3: Cross multiply
    275,865.40x = 413,798.10 × 205,881.40
  4. Step 4: Simplify right side
    275,865.40x = 85,193,332,145.34
  5. Step 5: Solve for x
    x = 85,193,332,145.34/275,865.40
  6. Step 6: Final answer
    x = 308,822.10

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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.