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Finding the Fourth Proportional to 204,710.40, 307,238.40 and 99,619.20

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Solution

The fourth proportional to 204,710.40, 307,238.40 and 99,619.20 is: 149,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,710.40 : 307,238.40 = 99,619.20 : x
  2. Step 2: Convert to fraction form
    204,710.40/307,238.40 = 99,619.20/x
  3. Step 3: Cross multiply
    204,710.40x = 307,238.40 × 99,619.20
  4. Step 4: Simplify right side
    204,710.40x = 30,606,843,617.28
  5. Step 5: Solve for x
    x = 30,606,843,617.28/204,710.40
  6. Step 6: Final answer
    x = 149,512.89

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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.