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Finding the Fourth Proportional to 311,105.79, 466,755.57 and 111,427.92

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Solution

The fourth proportional to 311,105.79, 466,755.57 and 111,427.92 is: 167,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,105.79 : 466,755.57 = 111,427.92 : x
  2. Step 2: Convert to fraction form
    311,105.79/466,755.57 = 111,427.92/x
  3. Step 3: Cross multiply
    311,105.79x = 466,755.57 × 111,427.92
  4. Step 4: Simplify right side
    311,105.79x = 52,009,602,313.51
  5. Step 5: Solve for x
    x = 52,009,602,313.51/311,105.79
  6. Step 6: Final answer
    x = 167,176.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.