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Finding the Fourth Proportional to 297,972.48, 446,358.72 and 137,822.72

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Solution

The fourth proportional to 297,972.48, 446,358.72 and 137,822.72 is: 206,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,972.48 : 446,358.72 = 137,822.72 : x
  2. Step 2: Convert to fraction form
    297,972.48/446,358.72 = 137,822.72/x
  3. Step 3: Cross multiply
    297,972.48x = 446,358.72 × 137,822.72
  4. Step 4: Simplify right side
    297,972.48x = 61,518,372,886.12
  5. Step 5: Solve for x
    x = 61,518,372,886.12/297,972.48
  6. Step 6: Final answer
    x = 206,456.56

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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.