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Finding the Fourth Proportional to 343,542.26, 515,071.96 and 151,325.48

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Solution

The fourth proportional to 343,542.26, 515,071.96 and 151,325.48 is: 226,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,542.26 : 515,071.96 = 151,325.48 : x
  2. Step 2: Convert to fraction form
    343,542.26/515,071.96 = 151,325.48/x
  3. Step 3: Cross multiply
    343,542.26x = 515,071.96 × 151,325.48
  4. Step 4: Simplify right side
    343,542.26x = 77,943,512,490.91
  5. Step 5: Solve for x
    x = 77,943,512,490.91/343,542.26
  6. Step 6: Final answer
    x = 226,881.87

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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.