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Finding the Fourth Proportional to 225,388.12, 311,044 and 128,607.74

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Solution

The fourth proportional to 225,388.12, 311,044 and 128,607.74 is: 177,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,388.12 : 311,044 = 128,607.74 : x
  2. Step 2: Convert to fraction form
    225,388.12/311,044 = 128,607.74/x
  3. Step 3: Cross multiply
    225,388.12x = 311,044 × 128,607.74
  4. Step 4: Simplify right side
    225,388.12x = 40,002,665,880.56
  5. Step 5: Solve for x
    x = 40,002,665,880.56/225,388.12
  6. Step 6: Final answer
    x = 177,483.47

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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.