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Finding the Fourth Proportional to 262,999.78, 362,851.05 and 149,742.34

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Solution

The fourth proportional to 262,999.78, 362,851.05 and 149,742.34 is: 206,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,999.78 : 362,851.05 = 149,742.34 : x
  2. Step 2: Convert to fraction form
    262,999.78/362,851.05 = 149,742.34/x
  3. Step 3: Cross multiply
    262,999.78x = 362,851.05 × 149,742.34
  4. Step 4: Simplify right side
    262,999.78x = 54,334,165,298.46
  5. Step 5: Solve for x
    x = 54,334,165,298.46/262,999.78
  6. Step 6: Final answer
    x = 206,593.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.