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Finding the Fourth Proportional to 225,695.28, 311,558.70 and 157,978.20

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Solution

The fourth proportional to 225,695.28, 311,558.70 and 157,978.20 is: 218,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,695.28 : 311,558.70 = 157,978.20 : x
  2. Step 2: Convert to fraction form
    225,695.28/311,558.70 = 157,978.20/x
  3. Step 3: Cross multiply
    225,695.28x = 311,558.70 × 157,978.20
  4. Step 4: Simplify right side
    225,695.28x = 49,219,482,620.34
  5. Step 5: Solve for x
    x = 49,219,482,620.34/225,695.28
  6. Step 6: Final answer
    x = 218,079.36

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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.