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Finding the Fourth Proportional to 225,843.89, 311,642.10 and 130,381.34

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Solution

The fourth proportional to 225,843.89, 311,642.10 and 130,381.34 is: 179,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,843.89 : 311,642.10 = 130,381.34 : x
  2. Step 2: Convert to fraction form
    225,843.89/311,642.10 = 130,381.34/x
  3. Step 3: Cross multiply
    225,843.89x = 311,642.10 × 130,381.34
  4. Step 4: Simplify right side
    225,843.89x = 40,632,314,598.41
  5. Step 5: Solve for x
    x = 40,632,314,598.41/225,843.89
  6. Step 6: Final answer
    x = 179,913.28

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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.