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Finding the Fourth Proportional to 270,009.90, 405,014.85 and 163,721.70

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Solution

The fourth proportional to 270,009.90, 405,014.85 and 163,721.70 is: 245,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,009.90 : 405,014.85 = 163,721.70 : x
  2. Step 2: Convert to fraction form
    270,009.90/405,014.85 = 163,721.70/x
  3. Step 3: Cross multiply
    270,009.90x = 405,014.85 × 163,721.70
  4. Step 4: Simplify right side
    270,009.90x = 66,309,719,767.25
  5. Step 5: Solve for x
    x = 66,309,719,767.25/270,009.90
  6. Step 6: Final answer
    x = 245,582.55

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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.