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Finding the Fourth Proportional to 226,447.36, 312,203.52 and 145,730.56

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Solution

The fourth proportional to 226,447.36, 312,203.52 and 145,730.56 is: 200,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,447.36 : 312,203.52 = 145,730.56 : x
  2. Step 2: Convert to fraction form
    226,447.36/312,203.52 = 145,730.56/x
  3. Step 3: Cross multiply
    226,447.36x = 312,203.52 × 145,730.56
  4. Step 4: Simplify right side
    226,447.36x = 45,497,593,803.57
  5. Step 5: Solve for x
    x = 45,497,593,803.57/226,447.36
  6. Step 6: Final answer
    x = 200,919.07

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1.5x scale

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.