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Finding the Fourth Proportional to 655,849.56, 983,912.58 and 212,583

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Solution

The fourth proportional to 655,849.56, 983,912.58 and 212,583 is: 318,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,849.56 : 983,912.58 = 212,583 : x
  2. Step 2: Convert to fraction form
    655,849.56/983,912.58 = 212,583/x
  3. Step 3: Cross multiply
    655,849.56x = 983,912.58 × 212,583
  4. Step 4: Simplify right side
    655,849.56x = 209,163,087,994.14
  5. Step 5: Solve for x
    x = 209,163,087,994.14/655,849.56
  6. Step 6: Final answer
    x = 318,919.31

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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.