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Finding the Fourth Proportional to 258,766.65, 387,785.48 and 205,549.65

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Solution

The fourth proportional to 258,766.65, 387,785.48 and 205,549.65 is: 308,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,766.65 : 387,785.48 = 205,549.65 : x
  2. Step 2: Convert to fraction form
    258,766.65/387,785.48 = 205,549.65/x
  3. Step 3: Cross multiply
    258,766.65x = 387,785.48 × 205,549.65
  4. Step 4: Simplify right side
    258,766.65x = 79,709,168,661.33
  5. Step 5: Solve for x
    x = 79,709,168,661.33/258,766.65
  6. Step 6: Final answer
    x = 308,034.94

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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.