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Finding the Fourth Proportional to 512,823.86, 766,037.84 and 379,963.61

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Solution

The fourth proportional to 512,823.86, 766,037.84 and 379,963.61 is: 567,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,823.86 : 766,037.84 = 379,963.61 : x
  2. Step 2: Convert to fraction form
    512,823.86/766,037.84 = 379,963.61/x
  3. Step 3: Cross multiply
    512,823.86x = 766,037.84 × 379,963.61
  4. Step 4: Simplify right side
    512,823.86x = 291,066,503,083.00
  5. Step 5: Solve for x
    x = 291,066,503,083.00/512,823.86
  6. Step 6: Final answer
    x = 567,575.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.