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Finding the Fourth Proportional to 411,984.27, 618,311.63 and 212,361.74

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Solution

The fourth proportional to 411,984.27, 618,311.63 and 212,361.74 is: 318,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,984.27 : 618,311.63 = 212,361.74 : x
  2. Step 2: Convert to fraction form
    411,984.27/618,311.63 = 212,361.74/x
  3. Step 3: Cross multiply
    411,984.27x = 618,311.63 × 212,361.74
  4. Step 4: Simplify right side
    411,984.27x = 131,305,729,455.67
  5. Step 5: Solve for x
    x = 131,305,729,455.67/411,984.27
  6. Step 6: Final answer
    x = 318,715.40

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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.