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Finding the Fourth Proportional to 512,874.23, 707,793.53 and 308,989.33

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Solution

The fourth proportional to 512,874.23, 707,793.53 and 308,989.33 is: 426,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,874.23 : 707,793.53 = 308,989.33 : x
  2. Step 2: Convert to fraction form
    512,874.23/707,793.53 = 308,989.33/x
  3. Step 3: Cross multiply
    512,874.23x = 707,793.53 × 308,989.33
  4. Step 4: Simplify right side
    512,874.23x = 218,700,645,298.60
  5. Step 5: Solve for x
    x = 218,700,645,298.60/512,874.23
  6. Step 6: Final answer
    x = 426,421.60

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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.