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Finding the Fourth Proportional to 347,194.60, 520,964.70 and 136,839.40

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Solution

The fourth proportional to 347,194.60, 520,964.70 and 136,839.40 is: 205,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,194.60 : 520,964.70 = 136,839.40 : x
  2. Step 2: Convert to fraction form
    347,194.60/520,964.70 = 136,839.40/x
  3. Step 3: Cross multiply
    347,194.60x = 520,964.70 × 136,839.40
  4. Step 4: Simplify right side
    347,194.60x = 71,288,496,969.18
  5. Step 5: Solve for x
    x = 71,288,496,969.18/347,194.60
  6. Step 6: Final answer
    x = 205,327.21

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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.