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Finding the Fourth Proportional to 229,046.40, 343,828.80 and 135,604.80

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Solution

The fourth proportional to 229,046.40, 343,828.80 and 135,604.80 is: 203,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,046.40 : 343,828.80 = 135,604.80 : x
  2. Step 2: Convert to fraction form
    229,046.40/343,828.80 = 135,604.80/x
  3. Step 3: Cross multiply
    229,046.40x = 343,828.80 × 135,604.80
  4. Step 4: Simplify right side
    229,046.40x = 46,624,835,658.24
  5. Step 5: Solve for x
    x = 46,624,835,658.24/229,046.40
  6. Step 6: Final answer
    x = 203,560.66

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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.