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Finding the Fourth Proportional to 393,832.30, 590,311.05 and 216,466.60

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Solution

The fourth proportional to 393,832.30, 590,311.05 and 216,466.60 is: 324,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,832.30 : 590,311.05 = 216,466.60 : x
  2. Step 2: Convert to fraction form
    393,832.30/590,311.05 = 216,466.60/x
  3. Step 3: Cross multiply
    393,832.30x = 590,311.05 × 216,466.60
  4. Step 4: Simplify right side
    393,832.30x = 127,782,625,935.93
  5. Step 5: Solve for x
    x = 127,782,625,935.93/393,832.30
  6. Step 6: Final answer
    x = 324,459.49

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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.