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Finding the Fourth Proportional to 565,566.52, 780,481.80 and 310,917.73

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Solution

The fourth proportional to 565,566.52, 780,481.80 and 310,917.73 is: 429,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,566.52 : 780,481.80 = 310,917.73 : x
  2. Step 2: Convert to fraction form
    565,566.52/780,481.80 = 310,917.73/x
  3. Step 3: Cross multiply
    565,566.52x = 780,481.80 × 310,917.73
  4. Step 4: Simplify right side
    565,566.52x = 242,665,629,562.31
  5. Step 5: Solve for x
    x = 242,665,629,562.31/565,566.52
  6. Step 6: Final answer
    x = 429,066.47

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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.