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Finding the Fourth Proportional to 499,960.65, 689,945.25 and 282,215.15

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Solution

The fourth proportional to 499,960.65, 689,945.25 and 282,215.15 is: 389,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,960.65 : 689,945.25 = 282,215.15 : x
  2. Step 2: Convert to fraction form
    499,960.65/689,945.25 = 282,215.15/x
  3. Step 3: Cross multiply
    499,960.65x = 689,945.25 × 282,215.15
  4. Step 4: Simplify right side
    499,960.65x = 194,713,002,220.54
  5. Step 5: Solve for x
    x = 194,713,002,220.54/499,960.65
  6. Step 6: Final answer
    x = 389,456.65

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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.