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Finding the Fourth Proportional to 262,999.68, 362,932.80 and 143,760

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Solution

The fourth proportional to 262,999.68, 362,932.80 and 143,760 is: 198,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,999.68 : 362,932.80 = 143,760 : x
  2. Step 2: Convert to fraction form
    262,999.68/362,932.80 = 143,760/x
  3. Step 3: Cross multiply
    262,999.68x = 362,932.80 × 143,760
  4. Step 4: Simplify right side
    262,999.68x = 52,175,219,328
  5. Step 5: Solve for x
    x = 52,175,219,328/262,999.68
  6. Step 6: Final answer
    x = 198,385.11

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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.