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Finding the Fourth Proportional to 297,839.80, 446,759.70 and 171,431.20

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Solution

The fourth proportional to 297,839.80, 446,759.70 and 171,431.20 is: 257,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,839.80 : 446,759.70 = 171,431.20 : x
  2. Step 2: Convert to fraction form
    297,839.80/446,759.70 = 171,431.20/x
  3. Step 3: Cross multiply
    297,839.80x = 446,759.70 × 171,431.20
  4. Step 4: Simplify right side
    297,839.80x = 76,588,551,482.64
  5. Step 5: Solve for x
    x = 76,588,551,482.64/297,839.80
  6. Step 6: Final answer
    x = 257,146.80

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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.