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Finding the Fourth Proportional to 383,088.40, 574,435.74 and 205,744.56

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Solution

The fourth proportional to 383,088.40, 574,435.74 and 205,744.56 is: 308,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,088.40 : 574,435.74 = 205,744.56 : x
  2. Step 2: Convert to fraction form
    383,088.40/574,435.74 = 205,744.56/x
  3. Step 3: Cross multiply
    383,088.40x = 574,435.74 × 205,744.56
  4. Step 4: Simplify right side
    383,088.40x = 118,187,028,574.57
  5. Step 5: Solve for x
    x = 118,187,028,574.57/383,088.40
  6. Step 6: Final answer
    x = 308,511.11

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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.