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Finding the Fourth Proportional to 297,712.80, 446,721.12 and 197,940.96

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Solution

The fourth proportional to 297,712.80, 446,721.12 and 197,940.96 is: 297,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,712.80 : 446,721.12 = 197,940.96 : x
  2. Step 2: Convert to fraction form
    297,712.80/446,721.12 = 197,940.96/x
  3. Step 3: Cross multiply
    297,712.80x = 446,721.12 × 197,940.96
  4. Step 4: Simplify right side
    297,712.80x = 88,424,407,345.08
  5. Step 5: Solve for x
    x = 88,424,407,345.08/297,712.80
  6. Step 6: Final answer
    x = 297,012.45

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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.