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Finding the Fourth Proportional to 384,649.57, 576,916.03 and 135,273.25

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Solution

The fourth proportional to 384,649.57, 576,916.03 and 135,273.25 is: 202,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,649.57 : 576,916.03 = 135,273.25 : x
  2. Step 2: Convert to fraction form
    384,649.57/576,916.03 = 135,273.25/x
  3. Step 3: Cross multiply
    384,649.57x = 576,916.03 × 135,273.25
  4. Step 4: Simplify right side
    384,649.57x = 78,041,306,355.20
  5. Step 5: Solve for x
    x = 78,041,306,355.20/384,649.57
  6. Step 6: Final answer
    x = 202,889.36

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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.