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Finding the Fourth Proportional to 548,439.90, 822,045.45 and 311,895.90

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Solution

The fourth proportional to 548,439.90, 822,045.45 and 311,895.90 is: 467,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,439.90 : 822,045.45 = 311,895.90 : x
  2. Step 2: Convert to fraction form
    548,439.90/822,045.45 = 311,895.90/x
  3. Step 3: Cross multiply
    548,439.90x = 822,045.45 × 311,895.90
  4. Step 4: Simplify right side
    548,439.90x = 256,392,605,468.66
  5. Step 5: Solve for x
    x = 256,392,605,468.66/548,439.90
  6. Step 6: Final answer
    x = 467,494.44

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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.