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Finding the Fourth Proportional to 270,945.60, 406,418.40 and 164,657.40

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Solution

The fourth proportional to 270,945.60, 406,418.40 and 164,657.40 is: 246,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,945.60 : 406,418.40 = 164,657.40 : x
  2. Step 2: Convert to fraction form
    270,945.60/406,418.40 = 164,657.40/x
  3. Step 3: Cross multiply
    270,945.60x = 406,418.40 × 164,657.40
  4. Step 4: Simplify right side
    270,945.60x = 66,919,797,056.16
  5. Step 5: Solve for x
    x = 66,919,797,056.16/270,945.60
  6. Step 6: Final answer
    x = 246,986.10

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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.