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Finding the Fourth Proportional to 429,787.68, 644,680.78 and 114,244.60

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Solution

The fourth proportional to 429,787.68, 644,680.78 and 114,244.60 is: 171,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,787.68 : 644,680.78 = 114,244.60 : x
  2. Step 2: Convert to fraction form
    429,787.68/644,680.78 = 114,244.60/x
  3. Step 3: Cross multiply
    429,787.68x = 644,680.78 × 114,244.60
  4. Step 4: Simplify right side
    429,787.68x = 73,651,297,838.79
  5. Step 5: Solve for x
    x = 73,651,297,838.79/429,787.68
  6. Step 6: Final answer
    x = 171,366.70

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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.