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Finding the Fourth Proportional to 292,858.26, 439,287.40 and 82,495.86

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Solution

The fourth proportional to 292,858.26, 439,287.40 and 82,495.86 is: 123,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,858.26 : 439,287.40 = 82,495.86 : x
  2. Step 2: Convert to fraction form
    292,858.26/439,287.40 = 82,495.86/x
  3. Step 3: Cross multiply
    292,858.26x = 439,287.40 × 82,495.86
  4. Step 4: Simplify right side
    292,858.26x = 36,239,391,850.16
  5. Step 5: Solve for x
    x = 36,239,391,850.16/292,858.26
  6. Step 6: Final answer
    x = 123,743.79

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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.