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Finding the Fourth Proportional to 565,795.74, 780,774.33 and 320,796.97

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Solution

The fourth proportional to 565,795.74, 780,774.33 and 320,796.97 is: 442,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,795.74 : 780,774.33 = 320,796.97 : x
  2. Step 2: Convert to fraction form
    565,795.74/780,774.33 = 320,796.97/x
  3. Step 3: Cross multiply
    565,795.74x = 780,774.33 × 320,796.97
  4. Step 4: Simplify right side
    565,795.74x = 250,470,039,317.78
  5. Step 5: Solve for x
    x = 250,470,039,317.78/565,795.74
  6. Step 6: Final answer
    x = 442,686.33

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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.