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Finding the Fourth Proportional to 270,213.67, 405,402.51 and 143,832.41

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Solution

The fourth proportional to 270,213.67, 405,402.51 and 143,832.41 is: 215,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213.67 : 405,402.51 = 143,832.41 : x
  2. Step 2: Convert to fraction form
    270,213.67/405,402.51 = 143,832.41/x
  3. Step 3: Cross multiply
    270,213.67x = 405,402.51 × 143,832.41
  4. Step 4: Simplify right side
    270,213.67x = 58,310,018,006.34
  5. Step 5: Solve for x
    x = 58,310,018,006.34/270,213.67
  6. Step 6: Final answer
    x = 215,792.26

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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.