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Finding the Fourth Proportional to 311,881.52, 467,750.64 and 87,257.72

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Solution

The fourth proportional to 311,881.52, 467,750.64 and 87,257.72 is: 130,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,881.52 : 467,750.64 = 87,257.72 : x
  2. Step 2: Convert to fraction form
    311,881.52/467,750.64 = 87,257.72/x
  3. Step 3: Cross multiply
    311,881.52x = 467,750.64 × 87,257.72
  4. Step 4: Simplify right side
    311,881.52x = 40,814,854,374.94
  5. Step 5: Solve for x
    x = 40,814,854,374.94/311,881.52
  6. Step 6: Final answer
    x = 130,866.54

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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.