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Finding the Fourth Proportional to 270,919.74, 406,396.93 and 90,997.89

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Solution

The fourth proportional to 270,919.74, 406,396.93 and 90,997.89 is: 136,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,919.74 : 406,396.93 = 90,997.89 : x
  2. Step 2: Convert to fraction form
    270,919.74/406,396.93 = 90,997.89/x
  3. Step 3: Cross multiply
    270,919.74x = 406,396.93 × 90,997.89
  4. Step 4: Simplify right side
    270,919.74x = 36,981,263,132.48
  5. Step 5: Solve for x
    x = 36,981,263,132.48/270,919.74
  6. Step 6: Final answer
    x = 136,502.65

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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.