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Finding the Fourth Proportional to 264,878.30, 397,366.31 and 87,397.58

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Solution

The fourth proportional to 264,878.30, 397,366.31 and 87,397.58 is: 131,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,878.30 : 397,366.31 = 87,397.58 : x
  2. Step 2: Convert to fraction form
    264,878.30/397,366.31 = 87,397.58/x
  3. Step 3: Cross multiply
    264,878.30x = 397,366.31 × 87,397.58
  4. Step 4: Simplify right side
    264,878.30x = 34,728,851,880.70
  5. Step 5: Solve for x
    x = 34,728,851,880.70/264,878.30
  6. Step 6: Final answer
    x = 131,112.49

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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.