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Finding the Fourth Proportional to 343,876.92, 515,831.78 and 144,203.82

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Solution

The fourth proportional to 343,876.92, 515,831.78 and 144,203.82 is: 216,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,876.92 : 515,831.78 = 144,203.82 : x
  2. Step 2: Convert to fraction form
    343,876.92/515,831.78 = 144,203.82/x
  3. Step 3: Cross multiply
    343,876.92x = 515,831.78 × 144,203.82
  4. Step 4: Simplify right side
    343,876.92x = 74,384,913,153.40
  5. Step 5: Solve for x
    x = 74,384,913,153.40/343,876.92
  6. Step 6: Final answer
    x = 216,312.61

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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.