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Finding the Fourth Proportional to 413,665.35, 620,631.72 and 203,155.65

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Solution

The fourth proportional to 413,665.35, 620,631.72 and 203,155.65 is: 304,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,665.35 : 620,631.72 = 203,155.65 : x
  2. Step 2: Convert to fraction form
    413,665.35/620,631.72 = 203,155.65/x
  3. Step 3: Cross multiply
    413,665.35x = 620,631.72 × 203,155.65
  4. Step 4: Simplify right side
    413,665.35x = 126,084,840,487.22
  5. Step 5: Solve for x
    x = 126,084,840,487.22/413,665.35
  6. Step 6: Final answer
    x = 304,799.13

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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.