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Finding the Fourth Proportional to 270,470.75, 405,224.98 and 230,623.61

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Solution

The fourth proportional to 270,470.75, 405,224.98 and 230,623.61 is: 345,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,470.75 : 405,224.98 = 230,623.61 : x
  2. Step 2: Convert to fraction form
    270,470.75/405,224.98 = 230,623.61/x
  3. Step 3: Cross multiply
    270,470.75x = 405,224.98 × 230,623.61
  4. Step 4: Simplify right side
    270,470.75x = 93,454,447,749.78
  5. Step 5: Solve for x
    x = 93,454,447,749.78/270,470.75
  6. Step 6: Final answer
    x = 345,525.15

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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.