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Finding the Fourth Proportional to 519,216.40, 778,820.82 and 279,442.90

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Solution

The fourth proportional to 519,216.40, 778,820.82 and 279,442.90 is: 419,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,216.40 : 778,820.82 = 279,442.90 : x
  2. Step 2: Convert to fraction form
    519,216.40/778,820.82 = 279,442.90/x
  3. Step 3: Cross multiply
    519,216.40x = 778,820.82 × 279,442.90
  4. Step 4: Simplify right side
    519,216.40x = 217,635,948,521.18
  5. Step 5: Solve for x
    x = 217,635,948,521.18/519,216.40
  6. Step 6: Final answer
    x = 419,162.32

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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.