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Finding the Fourth Proportional to 399,640.48, 599,071.10 and 159,682.84

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Solution

The fourth proportional to 399,640.48, 599,071.10 and 159,682.84 is: 239,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,640.48 : 599,071.10 = 159,682.84 : x
  2. Step 2: Convert to fraction form
    399,640.48/599,071.10 = 159,682.84/x
  3. Step 3: Cross multiply
    399,640.48x = 599,071.10 × 159,682.84
  4. Step 4: Simplify right side
    399,640.48x = 95,661,374,609.92
  5. Step 5: Solve for x
    x = 95,661,374,609.92/399,640.48
  6. Step 6: Final answer
    x = 239,368.58

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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.