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Finding the Fourth Proportional to 413,601.60, 620,517.60 and 203,246.40

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Solution

The fourth proportional to 413,601.60, 620,517.60 and 203,246.40 is: 304,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,601.60 : 620,517.60 = 203,246.40 : x
  2. Step 2: Convert to fraction form
    413,601.60/620,517.60 = 203,246.40/x
  3. Step 3: Cross multiply
    413,601.60x = 620,517.60 × 203,246.40
  4. Step 4: Simplify right side
    413,601.60x = 126,117,968,336.64
  5. Step 5: Solve for x
    x = 126,117,968,336.64/413,601.60
  6. Step 6: Final answer
    x = 304,926.21

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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.