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Finding the Fourth Proportional to 413,769.60, 620,654.40 and 133,315.20

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Solution

The fourth proportional to 413,769.60, 620,654.40 and 133,315.20 is: 199,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,769.60 : 620,654.40 = 133,315.20 : x
  2. Step 2: Convert to fraction form
    413,769.60/620,654.40 = 133,315.20/x
  3. Step 3: Cross multiply
    413,769.60x = 620,654.40 × 133,315.20
  4. Step 4: Simplify right side
    413,769.60x = 82,742,665,466.88
  5. Step 5: Solve for x
    x = 82,742,665,466.88/413,769.60
  6. Step 6: Final answer
    x = 199,972.80

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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.