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Finding the Fourth Proportional to 655,838.56, 983,896.08 and 212,572

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Solution

The fourth proportional to 655,838.56, 983,896.08 and 212,572 is: 318,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,838.56 : 983,896.08 = 212,572 : x
  2. Step 2: Convert to fraction form
    655,838.56/983,896.08 = 212,572/x
  3. Step 3: Cross multiply
    655,838.56x = 983,896.08 × 212,572
  4. Step 4: Simplify right side
    655,838.56x = 209,148,757,517.76
  5. Step 5: Solve for x
    x = 209,148,757,517.76/655,838.56
  6. Step 6: Final answer
    x = 318,902.81

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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.