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Finding the Fourth Proportional to 519,270.80, 778,979.10 and 164,247.80

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Solution

The fourth proportional to 519,270.80, 778,979.10 and 164,247.80 is: 246,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,270.80 : 778,979.10 = 164,247.80 : x
  2. Step 2: Convert to fraction form
    519,270.80/778,979.10 = 164,247.80/x
  3. Step 3: Cross multiply
    519,270.80x = 778,979.10 × 164,247.80
  4. Step 4: Simplify right side
    519,270.80x = 127,945,603,420.98
  5. Step 5: Solve for x
    x = 127,945,603,420.98/519,270.80
  6. Step 6: Final answer
    x = 246,394.76

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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.