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Finding the Fourth Proportional to 311,541.88, 467,323.34 and 86,907.82

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Solution

The fourth proportional to 311,541.88, 467,323.34 and 86,907.82 is: 130,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541.88 : 467,323.34 = 86,907.82 : x
  2. Step 2: Convert to fraction form
    311,541.88/467,323.34 = 86,907.82/x
  3. Step 3: Cross multiply
    311,541.88x = 467,323.34 × 86,907.82
  4. Step 4: Simplify right side
    311,541.88x = 40,614,052,714.52
  5. Step 5: Solve for x
    x = 40,614,052,714.52/311,541.88
  6. Step 6: Final answer
    x = 130,364.66

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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.