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Finding the Fourth Proportional to 512,952.50, 707,911.09 and 283,504.85

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Solution

The fourth proportional to 512,952.50, 707,911.09 and 283,504.85 is: 391,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,952.50 : 707,911.09 = 283,504.85 : x
  2. Step 2: Convert to fraction form
    512,952.50/707,911.09 = 283,504.85/x
  3. Step 3: Cross multiply
    512,952.50x = 707,911.09 × 283,504.85
  4. Step 4: Simplify right side
    512,952.50x = 200,696,223,844.23
  5. Step 5: Solve for x
    x = 200,696,223,844.23/512,952.50
  6. Step 6: Final answer
    x = 391,256.94

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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.