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Finding the Fourth Proportional to 565,790.22, 780,766.74 and 320,791.47

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Solution

The fourth proportional to 565,790.22, 780,766.74 and 320,791.47 is: 442,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,790.22 : 780,766.74 = 320,791.47 : x
  2. Step 2: Convert to fraction form
    565,790.22/780,766.74 = 320,791.47/x
  3. Step 3: Cross multiply
    565,790.22x = 780,766.74 × 320,791.47
  4. Step 4: Simplify right side
    565,790.22x = 250,463,310,251.71
  5. Step 5: Solve for x
    x = 250,463,310,251.71/565,790.22
  6. Step 6: Final answer
    x = 442,678.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.