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Finding the Fourth Proportional to 311,462.70, 467,194.05 and 86,838.90

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Solution

The fourth proportional to 311,462.70, 467,194.05 and 86,838.90 is: 130,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,462.70 : 467,194.05 = 86,838.90 : x
  2. Step 2: Convert to fraction form
    311,462.70/467,194.05 = 86,838.90/x
  3. Step 3: Cross multiply
    311,462.70x = 467,194.05 × 86,838.90
  4. Step 4: Simplify right side
    311,462.70x = 40,570,617,388.55
  5. Step 5: Solve for x
    x = 40,570,617,388.55/311,462.70
  6. Step 6: Final answer
    x = 130,258.35

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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.