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Finding the Fourth Proportional to 401,895.66, 602,843.48 and 135,843

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Solution

The fourth proportional to 401,895.66, 602,843.48 and 135,843 is: 203,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,895.66 : 602,843.48 = 135,843 : x
  2. Step 2: Convert to fraction form
    401,895.66/602,843.48 = 135,843/x
  3. Step 3: Cross multiply
    401,895.66x = 602,843.48 × 135,843
  4. Step 4: Simplify right side
    401,895.66x = 81,892,066,174.43
  5. Step 5: Solve for x
    x = 81,892,066,174.43/401,895.66
  6. Step 6: Final answer
    x = 203,764.49

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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.