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Finding the Fourth Proportional to 315,480.40, 434,910.80 and 194,540.52

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Solution

The fourth proportional to 315,480.40, 434,910.80 and 194,540.52 is: 268,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480.40 : 434,910.80 = 194,540.52 : x
  2. Step 2: Convert to fraction form
    315,480.40/434,910.80 = 194,540.52/x
  3. Step 3: Cross multiply
    315,480.40x = 434,910.80 × 194,540.52
  4. Step 4: Simplify right side
    315,480.40x = 84,607,773,185.62
  5. Step 5: Solve for x
    x = 84,607,773,185.62/315,480.40
  6. Step 6: Final answer
    x = 268,187.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.