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Finding the Fourth Proportional to 284,315.06, 426,620.18 and 115,958.90

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Solution

The fourth proportional to 284,315.06, 426,620.18 and 115,958.90 is: 173,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,315.06 : 426,620.18 = 115,958.90 : x
  2. Step 2: Convert to fraction form
    284,315.06/426,620.18 = 115,958.90/x
  3. Step 3: Cross multiply
    284,315.06x = 426,620.18 × 115,958.90
  4. Step 4: Simplify right side
    284,315.06x = 49,470,404,077.71
  5. Step 5: Solve for x
    x = 49,470,404,077.71/284,315.06
  6. Step 6: Final answer
    x = 173,998.54

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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.