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Finding the Fourth Proportional to 399,077.69, 598,096.72 and 162,143.38

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Solution

The fourth proportional to 399,077.69, 598,096.72 and 162,143.38 is: 243,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,077.69 : 598,096.72 = 162,143.38 : x
  2. Step 2: Convert to fraction form
    399,077.69/598,096.72 = 162,143.38/x
  3. Step 3: Cross multiply
    399,077.69x = 598,096.72 × 162,143.38
  4. Step 4: Simplify right side
    399,077.69x = 96,977,419,946.51
  5. Step 5: Solve for x
    x = 96,977,419,946.51/399,077.69
  6. Step 6: Final answer
    x = 243,003.86

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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.