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Finding the Fourth Proportional to 343,877.92, 515,833.28 and 144,204.82

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Solution

The fourth proportional to 343,877.92, 515,833.28 and 144,204.82 is: 216,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.92 : 515,833.28 = 144,204.82 : x
  2. Step 2: Convert to fraction form
    343,877.92/515,833.28 = 144,204.82/x
  3. Step 3: Cross multiply
    343,877.92x = 515,833.28 × 144,204.82
  4. Step 4: Simplify right side
    343,877.92x = 74,385,645,292.41
  5. Step 5: Solve for x
    x = 74,385,645,292.41/343,877.92
  6. Step 6: Final answer
    x = 216,314.11

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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.