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Finding the Fourth Proportional to 401,353.74, 602,122.77 and 135,107.16

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Solution

The fourth proportional to 401,353.74, 602,122.77 and 135,107.16 is: 202,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,353.74 : 602,122.77 = 135,107.16 : x
  2. Step 2: Convert to fraction form
    401,353.74/602,122.77 = 135,107.16/x
  3. Step 3: Cross multiply
    401,353.74x = 602,122.77 × 135,107.16
  4. Step 4: Simplify right side
    401,353.74x = 81,351,097,426.03
  5. Step 5: Solve for x
    x = 81,351,097,426.03/401,353.74
  6. Step 6: Final answer
    x = 202,691.76

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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.