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Finding the Fourth Proportional to 512,647.54, 707,451.29 and 283,204.90

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Solution

The fourth proportional to 512,647.54, 707,451.29 and 283,204.90 is: 390,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,647.54 : 707,451.29 = 283,204.90 : x
  2. Step 2: Convert to fraction form
    512,647.54/707,451.29 = 283,204.90/x
  3. Step 3: Cross multiply
    512,647.54x = 707,451.29 × 283,204.90
  4. Step 4: Simplify right side
    512,647.54x = 200,353,670,423.30
  5. Step 5: Solve for x
    x = 200,353,670,423.30/512,647.54
  6. Step 6: Final answer
    x = 390,821.48

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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.