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Finding the Fourth Proportional to 599,742.72, 827,565 and 385,173.42

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Solution

The fourth proportional to 599,742.72, 827,565 and 385,173.42 is: 531,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,742.72 : 827,565 = 385,173.42 : x
  2. Step 2: Convert to fraction form
    599,742.72/827,565 = 385,173.42/x
  3. Step 3: Cross multiply
    599,742.72x = 827,565 × 385,173.42
  4. Step 4: Simplify right side
    599,742.72x = 318,756,041,322.30
  5. Step 5: Solve for x
    x = 318,756,041,322.30/599,742.72
  6. Step 6: Final answer
    x = 531,487.97

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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.