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Finding the Fourth Proportional to 262,832, 362,708.16 and 143,600

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Solution

The fourth proportional to 262,832, 362,708.16 and 143,600 is: 198,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,832 : 362,708.16 = 143,600 : x
  2. Step 2: Convert to fraction form
    262,832/362,708.16 = 143,600/x
  3. Step 3: Cross multiply
    262,832x = 362,708.16 × 143,600
  4. Step 4: Simplify right side
    262,832x = 52,084,891,776
  5. Step 5: Solve for x
    x = 52,084,891,776/262,832
  6. Step 6: Final answer
    x = 198,168

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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.