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Finding the Fourth Proportional to 275,688.32, 412,810.74 and 180,619.43

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Solution

The fourth proportional to 275,688.32, 412,810.74 and 180,619.43 is: 270,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,688.32 : 412,810.74 = 180,619.43 : x
  2. Step 2: Convert to fraction form
    275,688.32/412,810.74 = 180,619.43/x
  3. Step 3: Cross multiply
    275,688.32x = 412,810.74 × 180,619.43
  4. Step 4: Simplify right side
    275,688.32x = 74,561,638,492.62
  5. Step 5: Solve for x
    x = 74,561,638,492.62/275,688.32
  6. Step 6: Final answer
    x = 270,456.29

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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.