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Finding the Fourth Proportional to 270,997.80, 406,332.54 and 121,210.17

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Solution

The fourth proportional to 270,997.80, 406,332.54 and 121,210.17 is: 181,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,997.80 : 406,332.54 = 121,210.17 : x
  2. Step 2: Convert to fraction form
    270,997.80/406,332.54 = 121,210.17/x
  3. Step 3: Cross multiply
    270,997.80x = 406,332.54 × 121,210.17
  4. Step 4: Simplify right side
    270,997.80x = 49,251,636,249.93
  5. Step 5: Solve for x
    x = 49,251,636,249.93/270,997.80
  6. Step 6: Final answer
    x = 181,741.83

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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.