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Finding the Fourth Proportional to 655,322.31, 983,114.73 and 206,156.25

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Solution

The fourth proportional to 655,322.31, 983,114.73 and 206,156.25 is: 309,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,322.31 : 983,114.73 = 206,156.25 : x
  2. Step 2: Convert to fraction form
    655,322.31/983,114.73 = 206,156.25/x
  3. Step 3: Cross multiply
    655,322.31x = 983,114.73 × 206,156.25
  4. Step 4: Simplify right side
    655,322.31x = 202,675,246,056.56
  5. Step 5: Solve for x
    x = 202,675,246,056.56/655,322.31
  6. Step 6: Final answer
    x = 309,275.67

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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.