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Finding the Fourth Proportional to 355,679.76, 490,846.43 and 202,732.17

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Solution

The fourth proportional to 355,679.76, 490,846.43 and 202,732.17 is: 279,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,679.76 : 490,846.43 = 202,732.17 : x
  2. Step 2: Convert to fraction form
    355,679.76/490,846.43 = 202,732.17/x
  3. Step 3: Cross multiply
    355,679.76x = 490,846.43 × 202,732.17
  4. Step 4: Simplify right side
    355,679.76x = 99,510,360,556.81
  5. Step 5: Solve for x
    x = 99,510,360,556.81/355,679.76
  6. Step 6: Final answer
    x = 279,775.16

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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.