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Finding the Fourth Proportional to 565,789.72, 780,766.05 and 320,790.97

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Solution

The fourth proportional to 565,789.72, 780,766.05 and 320,790.97 is: 442,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,789.72 : 780,766.05 = 320,790.97 : x
  2. Step 2: Convert to fraction form
    565,789.72/780,766.05 = 320,790.97/x
  3. Step 3: Cross multiply
    565,789.72x = 780,766.05 × 320,790.97
  4. Step 4: Simplify right side
    565,789.72x = 250,462,698,522.57
  5. Step 5: Solve for x
    x = 250,462,698,522.57/565,789.72
  6. Step 6: Final answer
    x = 442,678.07

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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.