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Finding the Fourth Proportional to 547,468.42, 821,231.79 and 173,520.58

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Solution

The fourth proportional to 547,468.42, 821,231.79 and 173,520.58 is: 260,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,468.42 : 821,231.79 = 173,520.58 : x
  2. Step 2: Convert to fraction form
    547,468.42/821,231.79 = 173,520.58/x
  3. Step 3: Cross multiply
    547,468.42x = 821,231.79 × 173,520.58
  4. Step 4: Simplify right side
    547,468.42x = 142,500,616,515.24
  5. Step 5: Solve for x
    x = 142,500,616,515.24/547,468.42
  6. Step 6: Final answer
    x = 260,290.11

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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.