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Finding the Fourth Proportional to 297,859.40, 446,789.10 and 131,971.40

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Solution

The fourth proportional to 297,859.40, 446,789.10 and 131,971.40 is: 197,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,859.40 : 446,789.10 = 131,971.40 : x
  2. Step 2: Convert to fraction form
    297,859.40/446,789.10 = 131,971.40/x
  3. Step 3: Cross multiply
    297,859.40x = 446,789.10 × 131,971.40
  4. Step 4: Simplify right side
    297,859.40x = 58,963,383,031.74
  5. Step 5: Solve for x
    x = 58,963,383,031.74/297,859.40
  6. Step 6: Final answer
    x = 197,957.10

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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.