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Finding the Fourth Proportional to 512,964.66, 769,460.13 and 243,029.61

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Solution

The fourth proportional to 512,964.66, 769,460.13 and 243,029.61 is: 364,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,964.66 : 769,460.13 = 243,029.61 : x
  2. Step 2: Convert to fraction form
    512,964.66/769,460.13 = 243,029.61/x
  3. Step 3: Cross multiply
    512,964.66x = 769,460.13 × 243,029.61
  4. Step 4: Simplify right side
    512,964.66x = 187,001,595,304.45
  5. Step 5: Solve for x
    x = 187,001,595,304.45/512,964.66
  6. Step 6: Final answer
    x = 364,550.64

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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.