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Finding the Fourth Proportional to 306,841.48, 423,223.10 and 204,815.50

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Solution

The fourth proportional to 306,841.48, 423,223.10 and 204,815.50 is: 282,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,841.48 : 423,223.10 = 204,815.50 : x
  2. Step 2: Convert to fraction form
    306,841.48/423,223.10 = 204,815.50/x
  3. Step 3: Cross multiply
    306,841.48x = 423,223.10 × 204,815.50
  4. Step 4: Simplify right side
    306,841.48x = 86,682,650,838.05
  5. Step 5: Solve for x
    x = 86,682,650,838.05/306,841.48
  6. Step 6: Final answer
    x = 282,499.78

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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.