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Finding the Fourth Proportional to 858,791.86, 1,286,225.72 and 409,828

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Solution

The fourth proportional to 858,791.86, 1,286,225.72 and 409,828 is: 613,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,791.86 : 1,286,225.72 = 409,828 : x
  2. Step 2: Convert to fraction form
    858,791.86/1,286,225.72 = 409,828/x
  3. Step 3: Cross multiply
    858,791.86x = 1,286,225.72 × 409,828
  4. Step 4: Simplify right side
    858,791.86x = 527,131,314,376.16
  5. Step 5: Solve for x
    x = 527,131,314,376.16/858,791.86
  6. Step 6: Final answer
    x = 613,805.67

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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.