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Finding the Fourth Proportional to 413,795.01, 620,377.80 and 213,987.96

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Solution

The fourth proportional to 413,795.01, 620,377.80 and 213,987.96 is: 320,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,795.01 : 620,377.80 = 213,987.96 : x
  2. Step 2: Convert to fraction form
    413,795.01/620,377.80 = 213,987.96/x
  3. Step 3: Cross multiply
    413,795.01x = 620,377.80 × 213,987.96
  4. Step 4: Simplify right side
    413,795.01x = 132,753,379,851.29
  5. Step 5: Solve for x
    x = 132,753,379,851.29/413,795.01
  6. Step 6: Final answer
    x = 320,819.19

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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.