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Finding the Fourth Proportional to 270,939.60, 406,409.40 and 164,651.40

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Solution

The fourth proportional to 270,939.60, 406,409.40 and 164,651.40 is: 246,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,939.60 : 406,409.40 = 164,651.40 : x
  2. Step 2: Convert to fraction form
    270,939.60/406,409.40 = 164,651.40/x
  3. Step 3: Cross multiply
    270,939.60x = 406,409.40 × 164,651.40
  4. Step 4: Simplify right side
    270,939.60x = 66,915,876,683.16
  5. Step 5: Solve for x
    x = 66,915,876,683.16/270,939.60
  6. Step 6: Final answer
    x = 246,977.10

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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.