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Finding the Fourth Proportional to 413,748.40, 620,476.80 and 147,517.60

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Solution

The fourth proportional to 413,748.40, 620,476.80 and 147,517.60 is: 221,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,748.40 : 620,476.80 = 147,517.60 : x
  2. Step 2: Convert to fraction form
    413,748.40/620,476.80 = 147,517.60/x
  3. Step 3: Cross multiply
    413,748.40x = 620,476.80 × 147,517.60
  4. Step 4: Simplify right side
    413,748.40x = 91,531,248,391.68
  5. Step 5: Solve for x
    x = 91,531,248,391.68/413,748.40
  6. Step 6: Final answer
    x = 221,224.42

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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.