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Finding the Fourth Proportional to 513,213.45, 708,205.95 and 283,756.95

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Solution

The fourth proportional to 513,213.45, 708,205.95 and 283,756.95 is: 391,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,213.45 : 708,205.95 = 283,756.95 : x
  2. Step 2: Convert to fraction form
    513,213.45/708,205.95 = 283,756.95/x
  3. Step 3: Cross multiply
    513,213.45x = 708,205.95 × 283,756.95
  4. Step 4: Simplify right side
    513,213.45x = 200,958,360,343.85
  5. Step 5: Solve for x
    x = 200,958,360,343.85/513,213.45
  6. Step 6: Final answer
    x = 391,568.77

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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.