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Finding the Fourth Proportional to 311,364.60, 467,047.32 and 86,725.68

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Solution

The fourth proportional to 311,364.60, 467,047.32 and 86,725.68 is: 130,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,364.60 : 467,047.32 = 86,725.68 : x
  2. Step 2: Convert to fraction form
    311,364.60/467,047.32 = 86,725.68/x
  3. Step 3: Cross multiply
    311,364.60x = 467,047.32 × 86,725.68
  4. Step 4: Simplify right side
    311,364.60x = 40,504,996,419.18
  5. Step 5: Solve for x
    x = 40,504,996,419.18/311,364.60
  6. Step 6: Final answer
    x = 130,088.64

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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.