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Finding the Fourth Proportional to 513,221.33, 708,241.19 and 283,788.63

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Solution

The fourth proportional to 513,221.33, 708,241.19 and 283,788.63 is: 391,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,221.33 : 708,241.19 = 283,788.63 : x
  2. Step 2: Convert to fraction form
    513,221.33/708,241.19 = 283,788.63/x
  3. Step 3: Cross multiply
    513,221.33x = 708,241.19 × 283,788.63
  4. Step 4: Simplify right side
    513,221.33x = 200,990,795,600.73
  5. Step 5: Solve for x
    x = 200,990,795,600.73/513,221.33
  6. Step 6: Final answer
    x = 391,625.96

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1.5x scale

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.