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Finding the Fourth Proportional to 299,362.50, 413,120.79 and 165,226.50

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Solution

The fourth proportional to 299,362.50, 413,120.79 and 165,226.50 is: 228,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,362.50 : 413,120.79 = 165,226.50 : x
  2. Step 2: Convert to fraction form
    299,362.50/413,120.79 = 165,226.50/x
  3. Step 3: Cross multiply
    299,362.50x = 413,120.79 × 165,226.50
  4. Step 4: Simplify right side
    299,362.50x = 68,258,502,208.94
  5. Step 5: Solve for x
    x = 68,258,502,208.94/299,362.50
  6. Step 6: Final answer
    x = 228,012.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.