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Finding the Fourth Proportional to 343,651.92, 515,379.06 and 143,967.48

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Solution

The fourth proportional to 343,651.92, 515,379.06 and 143,967.48 is: 215,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,651.92 : 515,379.06 = 143,967.48 : x
  2. Step 2: Convert to fraction form
    343,651.92/515,379.06 = 143,967.48/x
  3. Step 3: Cross multiply
    343,651.92x = 515,379.06 × 143,967.48
  4. Step 4: Simplify right side
    343,651.92x = 74,197,824,512.97
  5. Step 5: Solve for x
    x = 74,197,824,512.97/343,651.92
  6. Step 6: Final answer
    x = 215,909.82

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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.