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Finding the Fourth Proportional to 401,833.70, 602,331.37 and 135,502.66

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Solution

The fourth proportional to 401,833.70, 602,331.37 and 135,502.66 is: 203,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,833.70 : 602,331.37 = 135,502.66 : x
  2. Step 2: Convert to fraction form
    401,833.70/602,331.37 = 135,502.66/x
  3. Step 3: Cross multiply
    401,833.70x = 602,331.37 × 135,502.66
  4. Step 4: Simplify right side
    401,833.70x = 81,617,502,836.44
  5. Step 5: Solve for x
    x = 81,617,502,836.44/401,833.70
  6. Step 6: Final answer
    x = 203,112.64

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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.