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Finding the Fourth Proportional to 513,221.55, 708,217.07 and 283,765.56

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Solution

The fourth proportional to 513,221.55, 708,217.07 and 283,765.56 is: 391,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,221.55 : 708,217.07 = 283,765.56 : x
  2. Step 2: Convert to fraction form
    513,221.55/708,217.07 = 283,765.56/x
  3. Step 3: Cross multiply
    513,221.55x = 708,217.07 × 283,765.56
  4. Step 4: Simplify right side
    513,221.55x = 200,967,612,051.28
  5. Step 5: Solve for x
    x = 200,967,612,051.28/513,221.55
  6. Step 6: Final answer
    x = 391,580.62

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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.