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Finding the Fourth Proportional to 354,451.86, 488,867.13 and 227,139.30

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Solution

The fourth proportional to 354,451.86, 488,867.13 and 227,139.30 is: 313,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,451.86 : 488,867.13 = 227,139.30 : x
  2. Step 2: Convert to fraction form
    354,451.86/488,867.13 = 227,139.30/x
  3. Step 3: Cross multiply
    354,451.86x = 488,867.13 × 227,139.30
  4. Step 4: Simplify right side
    354,451.86x = 111,040,937,701.21
  5. Step 5: Solve for x
    x = 111,040,937,701.21/354,451.86
  6. Step 6: Final answer
    x = 313,275.09

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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.