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Finding the Fourth Proportional to 270,847.62, 406,270.40 and 81,307.14

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Solution

The fourth proportional to 270,847.62, 406,270.40 and 81,307.14 is: 121,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,847.62 : 406,270.40 = 81,307.14 : x
  2. Step 2: Convert to fraction form
    270,847.62/406,270.40 = 81,307.14/x
  3. Step 3: Cross multiply
    270,847.62x = 406,270.40 × 81,307.14
  4. Step 4: Simplify right side
    270,847.62x = 33,032,684,290.66
  5. Step 5: Solve for x
    x = 33,032,684,290.66/270,847.62
  6. Step 6: Final answer
    x = 121,960.40

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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.