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Finding the Fourth Proportional to 343,834.88, 515,959.67 and 146,842.88

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Solution

The fourth proportional to 343,834.88, 515,959.67 and 146,842.88 is: 220,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,834.88 : 515,959.67 = 146,842.88 : x
  2. Step 2: Convert to fraction form
    343,834.88/515,959.67 = 146,842.88/x
  3. Step 3: Cross multiply
    343,834.88x = 515,959.67 × 146,842.88
  4. Step 4: Simplify right side
    343,834.88x = 75,765,001,693.96
  5. Step 5: Solve for x
    x = 75,765,001,693.96/343,834.88
  6. Step 6: Final answer
    x = 220,352.87

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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.