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Finding the Fourth Proportional to 311,501.96, 467,201.80 and 86,877.64

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Solution

The fourth proportional to 311,501.96, 467,201.80 and 86,877.64 is: 130,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,501.96 : 467,201.80 = 86,877.64 : x
  2. Step 2: Convert to fraction form
    311,501.96/467,201.80 = 86,877.64/x
  3. Step 3: Cross multiply
    311,501.96x = 467,201.80 × 86,877.64
  4. Step 4: Simplify right side
    311,501.96x = 40,589,389,787.75
  5. Step 5: Solve for x
    x = 40,589,389,787.75/311,501.96
  6. Step 6: Final answer
    x = 130,302.20

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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.