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Finding the Fourth Proportional to 354,640.28, 489,403.42 and 227,315.77

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Solution

The fourth proportional to 354,640.28, 489,403.42 and 227,315.77 is: 313,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,640.28 : 489,403.42 = 227,315.77 : x
  2. Step 2: Convert to fraction form
    354,640.28/489,403.42 = 227,315.77/x
  3. Step 3: Cross multiply
    354,640.28x = 489,403.42 × 227,315.77
  4. Step 4: Simplify right side
    354,640.28x = 111,249,113,466.14
  5. Step 5: Solve for x
    x = 111,249,113,466.14/354,640.28
  6. Step 6: Final answer
    x = 313,695.66

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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.