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Finding the Fourth Proportional to 225,415.34, 311,070.21 and 128,616.65

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Solution

The fourth proportional to 225,415.34, 311,070.21 and 128,616.65 is: 177,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,415.34 : 311,070.21 = 128,616.65 : x
  2. Step 2: Convert to fraction form
    225,415.34/311,070.21 = 128,616.65/x
  3. Step 3: Cross multiply
    225,415.34x = 311,070.21 × 128,616.65
  4. Step 4: Simplify right side
    225,415.34x = 40,008,806,769.65
  5. Step 5: Solve for x
    x = 40,008,806,769.65/225,415.34
  6. Step 6: Final answer
    x = 177,489.29

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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.