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Finding the Fourth Proportional to 313,850.28, 470,997.72 and 136,409.16

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Solution

The fourth proportional to 313,850.28, 470,997.72 and 136,409.16 is: 204,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,850.28 : 470,997.72 = 136,409.16 : x
  2. Step 2: Convert to fraction form
    313,850.28/470,997.72 = 136,409.16/x
  3. Step 3: Cross multiply
    313,850.28x = 470,997.72 × 136,409.16
  4. Step 4: Simplify right side
    313,850.28x = 64,248,403,347.12
  5. Step 5: Solve for x
    x = 64,248,403,347.12/313,850.28
  6. Step 6: Final answer
    x = 204,710.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.