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Finding the Fourth Proportional to 228,384.29, 342,599.46 and 78,604.86

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Solution

The fourth proportional to 228,384.29, 342,599.46 and 78,604.86 is: 117,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,384.29 : 342,599.46 = 78,604.86 : x
  2. Step 2: Convert to fraction form
    228,384.29/342,599.46 = 78,604.86/x
  3. Step 3: Cross multiply
    228,384.29x = 342,599.46 × 78,604.86
  4. Step 4: Simplify right side
    228,384.29x = 26,929,981,599.40
  5. Step 5: Solve for x
    x = 26,929,981,599.40/228,384.29
  6. Step 6: Final answer
    x = 117,915.21

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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.