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Finding the Fourth Proportional to 413,972.80, 620,839 and 161,196.80

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Solution

The fourth proportional to 413,972.80, 620,839 and 161,196.80 is: 241,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,972.80 : 620,839 = 161,196.80 : x
  2. Step 2: Convert to fraction form
    413,972.80/620,839 = 161,196.80/x
  3. Step 3: Cross multiply
    413,972.80x = 620,839 × 161,196.80
  4. Step 4: Simplify right side
    413,972.80x = 100,077,260,115.20
  5. Step 5: Solve for x
    x = 100,077,260,115.20/413,972.80
  6. Step 6: Final answer
    x = 241,748.40

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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.