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Finding the Fourth Proportional to 270,970.40, 406,468.40 and 84,112.80

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Solution

The fourth proportional to 270,970.40, 406,468.40 and 84,112.80 is: 126,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,970.40 : 406,468.40 = 84,112.80 : x
  2. Step 2: Convert to fraction form
    270,970.40/406,468.40 = 84,112.80/x
  3. Step 3: Cross multiply
    270,970.40x = 406,468.40 × 84,112.80
  4. Step 4: Simplify right side
    270,970.40x = 34,189,195,235.52
  5. Step 5: Solve for x
    x = 34,189,195,235.52/270,970.40
  6. Step 6: Final answer
    x = 126,173.17

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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.