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Finding the Fourth Proportional to 399,930.65, 599,231.63 and 281,352.86

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Solution

The fourth proportional to 399,930.65, 599,231.63 and 281,352.86 is: 421,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,930.65 : 599,231.63 = 281,352.86 : x
  2. Step 2: Convert to fraction form
    399,930.65/599,231.63 = 281,352.86/x
  3. Step 3: Cross multiply
    399,930.65x = 599,231.63 × 281,352.86
  4. Step 4: Simplify right side
    399,930.65x = 168,595,528,500.04
  5. Step 5: Solve for x
    x = 168,595,528,500.04/399,930.65
  6. Step 6: Final answer
    x = 421,561.91

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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.