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Finding the Fourth Proportional to 413,193.74, 620,122.77 and 213,572.61

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Solution

The fourth proportional to 413,193.74, 620,122.77 and 213,572.61 is: 320,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,193.74 : 620,122.77 = 213,572.61 : x
  2. Step 2: Convert to fraction form
    413,193.74/620,122.77 = 213,572.61/x
  3. Step 3: Cross multiply
    413,193.74x = 620,122.77 × 213,572.61
  4. Step 4: Simplify right side
    413,193.74x = 132,441,238,509.33
  5. Step 5: Solve for x
    x = 132,441,238,509.33/413,193.74
  6. Step 6: Final answer
    x = 320,530.61

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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.