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Finding the Fourth Proportional to 513,823.32, 769,737.54 and 378,642

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Solution

The fourth proportional to 513,823.32, 769,737.54 and 378,642 is: 567,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,823.32 : 769,737.54 = 378,642 : x
  2. Step 2: Convert to fraction form
    513,823.32/769,737.54 = 378,642/x
  3. Step 3: Cross multiply
    513,823.32x = 769,737.54 × 378,642
  4. Step 4: Simplify right side
    513,823.32x = 291,454,961,620.68
  5. Step 5: Solve for x
    x = 291,454,961,620.68/513,823.32
  6. Step 6: Final answer
    x = 567,227.98

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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.