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Finding the Fourth Proportional to 378,287.92, 565,758.78 and 336,461.68

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Solution

The fourth proportional to 378,287.92, 565,758.78 and 336,461.68 is: 503,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,287.92 : 565,758.78 = 336,461.68 : x
  2. Step 2: Convert to fraction form
    378,287.92/565,758.78 = 336,461.68/x
  3. Step 3: Cross multiply
    378,287.92x = 565,758.78 × 336,461.68
  4. Step 4: Simplify right side
    378,287.92x = 190,356,149,593.55
  5. Step 5: Solve for x
    x = 190,356,149,593.55/378,287.92
  6. Step 6: Final answer
    x = 503,204.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.