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Finding the Fourth Proportional to 513,190.69, 708,172.84 and 283,729.97

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Solution

The fourth proportional to 513,190.69, 708,172.84 and 283,729.97 is: 391,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,190.69 : 708,172.84 = 283,729.97 : x
  2. Step 2: Convert to fraction form
    513,190.69/708,172.84 = 283,729.97/x
  3. Step 3: Cross multiply
    513,190.69x = 708,172.84 × 283,729.97
  4. Step 4: Simplify right side
    513,190.69x = 200,929,860,773.11
  5. Step 5: Solve for x
    x = 200,929,860,773.11/513,190.69
  6. Step 6: Final answer
    x = 391,530.61

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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.