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Finding the Fourth Proportional to 247,709.34, 341,831.75 and 140,288.76

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Solution

The fourth proportional to 247,709.34, 341,831.75 and 140,288.76 is: 193,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,709.34 : 341,831.75 = 140,288.76 : x
  2. Step 2: Convert to fraction form
    247,709.34/341,831.75 = 140,288.76/x
  3. Step 3: Cross multiply
    247,709.34x = 341,831.75 × 140,288.76
  4. Step 4: Simplify right side
    247,709.34x = 47,955,151,634.69
  5. Step 5: Solve for x
    x = 47,955,151,634.69/247,709.34
  6. Step 6: Final answer
    x = 193,594.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.