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Finding the Fourth Proportional to 413,618.08, 620,611.44 and 216,580

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Solution

The fourth proportional to 413,618.08, 620,611.44 and 216,580 is: 324,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,618.08 : 620,611.44 = 216,580 : x
  2. Step 2: Convert to fraction form
    413,618.08/620,611.44 = 216,580/x
  3. Step 3: Cross multiply
    413,618.08x = 620,611.44 × 216,580
  4. Step 4: Simplify right side
    413,618.08x = 134,412,025,675.20
  5. Step 5: Solve for x
    x = 134,412,025,675.20/413,618.08
  6. Step 6: Final answer
    x = 324,966.51

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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.