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Finding the Fourth Proportional to 399,220.14, 599,143.05 and 278,491.83

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Solution

The fourth proportional to 399,220.14, 599,143.05 and 278,491.83 is: 417,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,220.14 : 599,143.05 = 278,491.83 : x
  2. Step 2: Convert to fraction form
    399,220.14/599,143.05 = 278,491.83/x
  3. Step 3: Cross multiply
    399,220.14x = 599,143.05 × 278,491.83
  4. Step 4: Simplify right side
    399,220.14x = 166,856,444,426.28
  5. Step 5: Solve for x
    x = 166,856,444,426.28/399,220.14
  6. Step 6: Final answer
    x = 417,955.98

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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.