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Finding the Fourth Proportional to 413,266.60, 619,243.80 and 272,861.20

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Solution

The fourth proportional to 413,266.60, 619,243.80 and 272,861.20 is: 408,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,266.60 : 619,243.80 = 272,861.20 : x
  2. Step 2: Convert to fraction form
    413,266.60/619,243.80 = 272,861.20/x
  3. Step 3: Cross multiply
    413,266.60x = 619,243.80 × 272,861.20
  4. Step 4: Simplify right side
    413,266.60x = 168,967,606,360.56
  5. Step 5: Solve for x
    x = 168,967,606,360.56/413,266.60
  6. Step 6: Final answer
    x = 408,858.61

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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.