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Finding the Fourth Proportional to 228,439.53, 342,584.11 and 78,676.50

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Solution

The fourth proportional to 228,439.53, 342,584.11 and 78,676.50 is: 117,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,439.53 : 342,584.11 = 78,676.50 : x
  2. Step 2: Convert to fraction form
    228,439.53/342,584.11 = 78,676.50/x
  3. Step 3: Cross multiply
    228,439.53x = 342,584.11 × 78,676.50
  4. Step 4: Simplify right side
    228,439.53x = 26,953,318,730.42
  5. Step 5: Solve for x
    x = 26,953,318,730.42/228,439.53
  6. Step 6: Final answer
    x = 117,988.86

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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.