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Finding the Fourth Proportional to 512,920.87, 768,693.51 and 399,206.02

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Solution

The fourth proportional to 512,920.87, 768,693.51 and 399,206.02 is: 598,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,920.87 : 768,693.51 = 399,206.02 : x
  2. Step 2: Convert to fraction form
    512,920.87/768,693.51 = 399,206.02/x
  3. Step 3: Cross multiply
    512,920.87x = 768,693.51 × 399,206.02
  4. Step 4: Simplify right side
    512,920.87x = 306,867,076,726.93
  5. Step 5: Solve for x
    x = 306,867,076,726.93/512,920.87
  6. Step 6: Final answer
    x = 598,273.72

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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.