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Finding the Fourth Proportional to 270,983.39, 406,478.48 and 128,842.02

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Solution

The fourth proportional to 270,983.39, 406,478.48 and 128,842.02 is: 193,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,983.39 : 406,478.48 = 128,842.02 : x
  2. Step 2: Convert to fraction form
    270,983.39/406,478.48 = 128,842.02/x
  3. Step 3: Cross multiply
    270,983.39x = 406,478.48 × 128,842.02
  4. Step 4: Simplify right side
    270,983.39x = 52,371,507,805.52
  5. Step 5: Solve for x
    x = 52,371,507,805.52/270,983.39
  6. Step 6: Final answer
    x = 193,264.65

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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.