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Finding the Fourth Proportional to 228,963.80, 343,285.70 and 135,421.40

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Solution

The fourth proportional to 228,963.80, 343,285.70 and 135,421.40 is: 203,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,963.80 : 343,285.70 = 135,421.40 : x
  2. Step 2: Convert to fraction form
    228,963.80/343,285.70 = 135,421.40/x
  3. Step 3: Cross multiply
    228,963.80x = 343,285.70 × 135,421.40
  4. Step 4: Simplify right side
    228,963.80x = 46,488,230,093.98
  5. Step 5: Solve for x
    x = 46,488,230,093.98/228,963.80
  6. Step 6: Final answer
    x = 203,037.47

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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.