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Finding the Fourth Proportional to 512,474.68, 766,940.55 and 320,281.12

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Solution

The fourth proportional to 512,474.68, 766,940.55 and 320,281.12 is: 479,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,474.68 : 766,940.55 = 320,281.12 : x
  2. Step 2: Convert to fraction form
    512,474.68/766,940.55 = 320,281.12/x
  3. Step 3: Cross multiply
    512,474.68x = 766,940.55 × 320,281.12
  4. Step 4: Simplify right side
    512,474.68x = 245,636,578,327.42
  5. Step 5: Solve for x
    x = 245,636,578,327.42/512,474.68
  6. Step 6: Final answer
    x = 479,314.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.