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Finding the Fourth Proportional to 270,486.52, 405,766.70 and 112,678.06

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Solution

The fourth proportional to 270,486.52, 405,766.70 and 112,678.06 is: 169,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,486.52 : 405,766.70 = 112,678.06 : x
  2. Step 2: Convert to fraction form
    270,486.52/405,766.70 = 112,678.06/x
  3. Step 3: Cross multiply
    270,486.52x = 405,766.70 × 112,678.06
  4. Step 4: Simplify right side
    270,486.52x = 45,721,004,568.60
  5. Step 5: Solve for x
    x = 45,721,004,568.60/270,486.52
  6. Step 6: Final answer
    x = 169,032.47

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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.