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Finding the Fourth Proportional to 270,841.53, 406,261.32 and 81,301.08

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Solution

The fourth proportional to 270,841.53, 406,261.32 and 81,301.08 is: 121,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,841.53 : 406,261.32 = 81,301.08 : x
  2. Step 2: Convert to fraction form
    270,841.53/406,261.32 = 81,301.08/x
  3. Step 3: Cross multiply
    270,841.53x = 406,261.32 × 81,301.08
  4. Step 4: Simplify right side
    270,841.53x = 33,029,484,078.23
  5. Step 5: Solve for x
    x = 33,029,484,078.23/270,841.53
  6. Step 6: Final answer
    x = 121,951.33

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1.5x scale

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.