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Finding the Fourth Proportional to 297,980.46, 446,960.82 and 129,500.97

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Solution

The fourth proportional to 297,980.46, 446,960.82 and 129,500.97 is: 194,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,980.46 : 446,960.82 = 129,500.97 : x
  2. Step 2: Convert to fraction form
    297,980.46/446,960.82 = 129,500.97/x
  3. Step 3: Cross multiply
    297,980.46x = 446,960.82 × 129,500.97
  4. Step 4: Simplify right side
    297,980.46x = 57,881,859,742.00
  5. Step 5: Solve for x
    x = 57,881,859,742.00/297,980.46
  6. Step 6: Final answer
    x = 194,247.17

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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.