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Finding the Fourth Proportional to 401,216.40, 601,400.25 and 148,334.49

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Solution

The fourth proportional to 401,216.40, 601,400.25 and 148,334.49 is: 222,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,216.40 : 601,400.25 = 148,334.49 : x
  2. Step 2: Convert to fraction form
    401,216.40/601,400.25 = 148,334.49/x
  3. Step 3: Cross multiply
    401,216.40x = 601,400.25 × 148,334.49
  4. Step 4: Simplify right side
    401,216.40x = 89,208,399,369.62
  5. Step 5: Solve for x
    x = 89,208,399,369.62/401,216.40
  6. Step 6: Final answer
    x = 222,344.85

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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.