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Finding the Fourth Proportional to 228,675.62, 343,046.64 and 70,916.78

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Solution

The fourth proportional to 228,675.62, 343,046.64 and 70,916.78 is: 106,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,675.62 : 343,046.64 = 70,916.78 : x
  2. Step 2: Convert to fraction form
    228,675.62/343,046.64 = 70,916.78/x
  3. Step 3: Cross multiply
    228,675.62x = 343,046.64 × 70,916.78
  4. Step 4: Simplify right side
    228,675.62x = 24,327,763,098.62
  5. Step 5: Solve for x
    x = 24,327,763,098.62/228,675.62
  6. Step 6: Final answer
    x = 106,385.47

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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.