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Finding the Fourth Proportional to 513,215.70, 708,209.05 and 283,759.21

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Solution

The fourth proportional to 513,215.70, 708,209.05 and 283,759.21 is: 391,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,215.70 : 708,209.05 = 283,759.21 : x
  2. Step 2: Convert to fraction form
    513,215.70/708,209.05 = 283,759.21/x
  3. Step 3: Cross multiply
    513,215.70x = 708,209.05 × 283,759.21
  4. Step 4: Simplify right side
    513,215.70x = 200,960,840,542.85
  5. Step 5: Solve for x
    x = 200,960,840,542.85/513,215.70
  6. Step 6: Final answer
    x = 391,571.89

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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.