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Finding the Fourth Proportional to 270,403.78, 405,574.68 and 70,743.44

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Solution

The fourth proportional to 270,403.78, 405,574.68 and 70,743.44 is: 106,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,403.78 : 405,574.68 = 70,743.44 : x
  2. Step 2: Convert to fraction form
    270,403.78/405,574.68 = 70,743.44/x
  3. Step 3: Cross multiply
    270,403.78x = 405,574.68 × 70,743.44
  4. Step 4: Simplify right side
    270,403.78x = 28,691,745,746.94
  5. Step 5: Solve for x
    x = 28,691,745,746.94/270,403.78
  6. Step 6: Final answer
    x = 106,107.04

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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.