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Finding the Fourth Proportional to 619,257.60, 930,986.10 and 494,491.68

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Solution

The fourth proportional to 619,257.60, 930,986.10 and 494,491.68 is: 743,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,257.60 : 930,986.10 = 494,491.68 : x
  2. Step 2: Convert to fraction form
    619,257.60/930,986.10 = 494,491.68/x
  3. Step 3: Cross multiply
    619,257.60x = 930,986.10 × 494,491.68
  4. Step 4: Simplify right side
    619,257.60x = 460,364,880,645.65
  5. Step 5: Solve for x
    x = 460,364,880,645.65/619,257.60
  6. Step 6: Final answer
    x = 743,414.18

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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.