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Finding the Fourth Proportional to 565,860.20, 780,821.61 and 324,128.35

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Solution

The fourth proportional to 565,860.20, 780,821.61 and 324,128.35 is: 447,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,860.20 : 780,821.61 = 324,128.35 : x
  2. Step 2: Convert to fraction form
    565,860.20/780,821.61 = 324,128.35/x
  3. Step 3: Cross multiply
    565,860.20x = 780,821.61 × 324,128.35
  4. Step 4: Simplify right side
    565,860.20x = 253,086,419,854.19
  5. Step 5: Solve for x
    x = 253,086,419,854.19/565,860.20
  6. Step 6: Final answer
    x = 447,259.63

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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.