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Finding the Fourth Proportional to 401,548.38, 601,930.89 and 191,129.82

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Solution

The fourth proportional to 401,548.38, 601,930.89 and 191,129.82 is: 286,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,548.38 : 601,930.89 = 191,129.82 : x
  2. Step 2: Convert to fraction form
    401,548.38/601,930.89 = 191,129.82/x
  3. Step 3: Cross multiply
    401,548.38x = 601,930.89 × 191,129.82
  4. Step 4: Simplify right side
    401,548.38x = 115,046,942,658.14
  5. Step 5: Solve for x
    x = 115,046,942,658.14/401,548.38
  6. Step 6: Final answer
    x = 286,508.30

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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.