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Finding the Fourth Proportional to 411,950.89, 617,928.39 and 145,711.65

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Solution

The fourth proportional to 411,950.89, 617,928.39 and 145,711.65 is: 218,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,950.89 : 617,928.39 = 145,711.65 : x
  2. Step 2: Convert to fraction form
    411,950.89/617,928.39 = 145,711.65/x
  3. Step 3: Cross multiply
    411,950.89x = 617,928.39 × 145,711.65
  4. Step 4: Simplify right side
    411,950.89x = 90,039,365,288.74
  5. Step 5: Solve for x
    x = 90,039,365,288.74/411,950.89
  6. Step 6: Final answer
    x = 218,568.20

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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.