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Finding the Fourth Proportional to 343,876.52, 515,648.86 and 144,143.28

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Solution

The fourth proportional to 343,876.52, 515,648.86 and 144,143.28 is: 216,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,876.52 : 515,648.86 = 144,143.28 : x
  2. Step 2: Convert to fraction form
    343,876.52/515,648.86 = 144,143.28/x
  3. Step 3: Cross multiply
    343,876.52x = 515,648.86 × 144,143.28
  4. Step 4: Simplify right side
    343,876.52x = 74,327,318,008.66
  5. Step 5: Solve for x
    x = 74,327,318,008.66/343,876.52
  6. Step 6: Final answer
    x = 216,145.37

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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.