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Finding the Fourth Proportional to 565,844.67, 780,674.34 and 320,803.14

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Solution

The fourth proportional to 565,844.67, 780,674.34 and 320,803.14 is: 442,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,844.67 : 780,674.34 = 320,803.14 : x
  2. Step 2: Convert to fraction form
    565,844.67/780,674.34 = 320,803.14/x
  3. Step 3: Cross multiply
    565,844.67x = 780,674.34 × 320,803.14
  4. Step 4: Simplify right side
    565,844.67x = 250,442,779,589.43
  5. Step 5: Solve for x
    x = 250,442,779,589.43/565,844.67
  6. Step 6: Final answer
    x = 442,599.87

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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.