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Finding the Fourth Proportional to 499,178.45, 748,227.73 and 199,329.34

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Solution

The fourth proportional to 499,178.45, 748,227.73 and 199,329.34 is: 298,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,178.45 : 748,227.73 = 199,329.34 : x
  2. Step 2: Convert to fraction form
    499,178.45/748,227.73 = 199,329.34/x
  3. Step 3: Cross multiply
    499,178.45x = 748,227.73 × 199,329.34
  4. Step 4: Simplify right side
    499,178.45x = 149,143,739,590.60
  5. Step 5: Solve for x
    x = 149,143,739,590.60/499,178.45
  6. Step 6: Final answer
    x = 298,778.40

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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.