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Finding the Fourth Proportional to 311,541.62, 467,322.96 and 86,907.56

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Solution

The fourth proportional to 311,541.62, 467,322.96 and 86,907.56 is: 130,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541.62 : 467,322.96 = 86,907.56 : x
  2. Step 2: Convert to fraction form
    311,541.62/467,322.96 = 86,907.56/x
  3. Step 3: Cross multiply
    311,541.62x = 467,322.96 × 86,907.56
  4. Step 4: Simplify right side
    311,541.62x = 40,613,898,185.58
  5. Step 5: Solve for x
    x = 40,613,898,185.58/311,541.62
  6. Step 6: Final answer
    x = 130,364.28

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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.