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Finding the Fourth Proportional to 343,876.32, 515,648.58 and 144,143.08

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Solution

The fourth proportional to 343,876.32, 515,648.58 and 144,143.08 is: 216,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,876.32 : 515,648.58 = 144,143.08 : x
  2. Step 2: Convert to fraction form
    343,876.32/515,648.58 = 144,143.08/x
  3. Step 3: Cross multiply
    343,876.32x = 515,648.58 × 144,143.08
  4. Step 4: Simplify right side
    343,876.32x = 74,327,172,689.17
  5. Step 5: Solve for x
    x = 74,327,172,689.17/343,876.32
  6. Step 6: Final answer
    x = 216,145.07

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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.