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Finding the Fourth Proportional to 383,966.44, 575,947.20 and 206,557

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Solution

The fourth proportional to 383,966.44, 575,947.20 and 206,557 is: 309,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,966.44 : 575,947.20 = 206,557 : x
  2. Step 2: Convert to fraction form
    383,966.44/575,947.20 = 206,557/x
  3. Step 3: Cross multiply
    383,966.44x = 575,947.20 × 206,557
  4. Step 4: Simplify right side
    383,966.44x = 118,965,925,790.40
  5. Step 5: Solve for x
    x = 118,965,925,790.40/383,966.44
  6. Step 6: Final answer
    x = 309,834.18

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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.