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Finding the Fourth Proportional to 228,946.80, 343,420.20 and 154,297.20

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Solution

The fourth proportional to 228,946.80, 343,420.20 and 154,297.20 is: 231,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,946.80 : 343,420.20 = 154,297.20 : x
  2. Step 2: Convert to fraction form
    228,946.80/343,420.20 = 154,297.20/x
  3. Step 3: Cross multiply
    228,946.80x = 343,420.20 × 154,297.20
  4. Step 4: Simplify right side
    228,946.80x = 52,988,775,283.44
  5. Step 5: Solve for x
    x = 52,988,775,283.44/228,946.80
  6. Step 6: Final answer
    x = 231,445.80

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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.