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Finding the Fourth Proportional to 270,483.06, 405,761.50 and 112,674.61

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Solution

The fourth proportional to 270,483.06, 405,761.50 and 112,674.61 is: 169,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,483.06 : 405,761.50 = 112,674.61 : x
  2. Step 2: Convert to fraction form
    270,483.06/405,761.50 = 112,674.61/x
  3. Step 3: Cross multiply
    270,483.06x = 405,761.50 × 112,674.61
  4. Step 4: Simplify right side
    270,483.06x = 45,719,018,969.65
  5. Step 5: Solve for x
    x = 45,719,018,969.65/270,483.06
  6. Step 6: Final answer
    x = 169,027.29

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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.