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Finding the Fourth Proportional to 623,847.42, 935,844.30 and 218,916

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Solution

The fourth proportional to 623,847.42, 935,844.30 and 218,916 is: 328,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,847.42 : 935,844.30 = 218,916 : x
  2. Step 2: Convert to fraction form
    623,847.42/935,844.30 = 218,916/x
  3. Step 3: Cross multiply
    623,847.42x = 935,844.30 × 218,916
  4. Step 4: Simplify right side
    623,847.42x = 204,871,290,778.80
  5. Step 5: Solve for x
    x = 204,871,290,778.80/623,847.42
  6. Step 6: Final answer
    x = 328,399.68

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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.