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Finding the Fourth Proportional to 512,959.50, 707,884.38 and 286,605

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Solution

The fourth proportional to 512,959.50, 707,884.38 and 286,605 is: 395,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,959.50 : 707,884.38 = 286,605 : x
  2. Step 2: Convert to fraction form
    512,959.50/707,884.38 = 286,605/x
  3. Step 3: Cross multiply
    512,959.50x = 707,884.38 × 286,605
  4. Step 4: Simplify right side
    512,959.50x = 202,883,202,729.90
  5. Step 5: Solve for x
    x = 202,883,202,729.90/512,959.50
  6. Step 6: Final answer
    x = 395,515.05

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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.