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Finding the Fourth Proportional to 512,346.29, 768,785.40 and 208,963.02

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Solution

The fourth proportional to 512,346.29, 768,785.40 and 208,963.02 is: 313,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,346.29 : 768,785.40 = 208,963.02 : x
  2. Step 2: Convert to fraction form
    512,346.29/768,785.40 = 208,963.02/x
  3. Step 3: Cross multiply
    512,346.29x = 768,785.40 × 208,963.02
  4. Step 4: Simplify right side
    512,346.29x = 160,647,717,871.09
  5. Step 5: Solve for x
    x = 160,647,717,871.09/512,346.29
  6. Step 6: Final answer
    x = 313,553.00

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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.