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Finding the Fourth Proportional to 311,885.52, 467,756.64 and 87,261.72

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Solution

The fourth proportional to 311,885.52, 467,756.64 and 87,261.72 is: 130,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,885.52 : 467,756.64 = 87,261.72 : x
  2. Step 2: Convert to fraction form
    311,885.52/467,756.64 = 87,261.72/x
  3. Step 3: Cross multiply
    311,885.52x = 467,756.64 × 87,261.72
  4. Step 4: Simplify right side
    311,885.52x = 40,817,248,947.82
  5. Step 5: Solve for x
    x = 40,817,248,947.82/311,885.52
  6. Step 6: Final answer
    x = 130,872.54

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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.