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Finding the Fourth Proportional to 565,356.50, 780,191.97 and 310,724.09

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Solution

The fourth proportional to 565,356.50, 780,191.97 and 310,724.09 is: 428,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,356.50 : 780,191.97 = 310,724.09 : x
  2. Step 2: Convert to fraction form
    565,356.50/780,191.97 = 310,724.09/x
  3. Step 3: Cross multiply
    565,356.50x = 780,191.97 × 310,724.09
  4. Step 4: Simplify right side
    565,356.50x = 242,424,439,903.56
  5. Step 5: Solve for x
    x = 242,424,439,903.56/565,356.50
  6. Step 6: Final answer
    x = 428,799.24

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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.