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Finding the Fourth Proportional to 401,519.57, 602,146.64 and 135,213.98

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Solution

The fourth proportional to 401,519.57, 602,146.64 and 135,213.98 is: 202,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,519.57 : 602,146.64 = 135,213.98 : x
  2. Step 2: Convert to fraction form
    401,519.57/602,146.64 = 135,213.98/x
  3. Step 3: Cross multiply
    401,519.57x = 602,146.64 × 135,213.98
  4. Step 4: Simplify right side
    401,519.57x = 81,418,641,065.33
  5. Step 5: Solve for x
    x = 81,418,641,065.33/401,519.57
  6. Step 6: Final answer
    x = 202,776.27

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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.