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Finding the Fourth Proportional to 311,353.56, 467,030.80 and 86,714.64

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Solution

The fourth proportional to 311,353.56, 467,030.80 and 86,714.64 is: 130,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,353.56 : 467,030.80 = 86,714.64 : x
  2. Step 2: Convert to fraction form
    311,353.56/467,030.80 = 86,714.64/x
  3. Step 3: Cross multiply
    311,353.56x = 467,030.80 × 86,714.64
  4. Step 4: Simplify right side
    311,353.56x = 40,498,407,257.34
  5. Step 5: Solve for x
    x = 40,498,407,257.34/311,353.56
  6. Step 6: Final answer
    x = 130,072.09

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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.