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Finding the Fourth Proportional to 354,646.28, 489,411.69 and 227,321.78

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Solution

The fourth proportional to 354,646.28, 489,411.69 and 227,321.78 is: 313,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,646.28 : 489,411.69 = 227,321.78 : x
  2. Step 2: Convert to fraction form
    354,646.28/489,411.69 = 227,321.78/x
  3. Step 3: Cross multiply
    354,646.28x = 489,411.69 × 227,321.78
  4. Step 4: Simplify right side
    354,646.28x = 111,253,934,076.55
  5. Step 5: Solve for x
    x = 111,253,934,076.55/354,646.28
  6. Step 6: Final answer
    x = 313,703.94

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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.