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Finding the Fourth Proportional to 262,613, 362,405.94 and 143,381

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Solution

The fourth proportional to 262,613, 362,405.94 and 143,381 is: 197,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,613 : 362,405.94 = 143,381 : x
  2. Step 2: Convert to fraction form
    262,613/362,405.94 = 143,381/x
  3. Step 3: Cross multiply
    262,613x = 362,405.94 × 143,381
  4. Step 4: Simplify right side
    262,613x = 51,962,126,083.14
  5. Step 5: Solve for x
    x = 51,962,126,083.14/262,613
  6. Step 6: Final answer
    x = 197,865.78

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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.