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Finding the Fourth Proportional to 512,771.94, 707,622.55 and 283,345.02

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Solution

The fourth proportional to 512,771.94, 707,622.55 and 283,345.02 is: 391,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,771.94 : 707,622.55 = 283,345.02 : x
  2. Step 2: Convert to fraction form
    512,771.94/707,622.55 = 283,345.02/x
  3. Step 3: Cross multiply
    512,771.94x = 707,622.55 × 283,345.02
  4. Step 4: Simplify right side
    512,771.94x = 200,501,324,873.84
  5. Step 5: Solve for x
    x = 200,501,324,873.84/512,771.94
  6. Step 6: Final answer
    x = 391,014.62

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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.