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Finding the Fourth Proportional to 400,915, 601,408.02 and 105,427

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Solution

The fourth proportional to 400,915, 601,408.02 and 105,427 is: 158,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,915 : 601,408.02 = 105,427 : x
  2. Step 2: Convert to fraction form
    400,915/601,408.02 = 105,427/x
  3. Step 3: Cross multiply
    400,915x = 601,408.02 × 105,427
  4. Step 4: Simplify right side
    400,915x = 63,404,643,324.54
  5. Step 5: Solve for x
    x = 63,404,643,324.54/400,915
  6. Step 6: Final answer
    x = 158,149.84

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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.