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Finding the Fourth Proportional to 655,837.56, 983,894.58 and 212,571

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Solution

The fourth proportional to 655,837.56, 983,894.58 and 212,571 is: 318,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,837.56 : 983,894.58 = 212,571 : x
  2. Step 2: Convert to fraction form
    655,837.56/983,894.58 = 212,571/x
  3. Step 3: Cross multiply
    655,837.56x = 983,894.58 × 212,571
  4. Step 4: Simplify right side
    655,837.56x = 209,147,454,765.18
  5. Step 5: Solve for x
    x = 209,147,454,765.18/655,837.56
  6. Step 6: Final answer
    x = 318,901.31

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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.