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Finding the Fourth Proportional to 256,937.20, 385,175.40 and 228,943.60

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Solution

The fourth proportional to 256,937.20, 385,175.40 and 228,943.60 is: 343,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,937.20 : 385,175.40 = 228,943.60 : x
  2. Step 2: Convert to fraction form
    256,937.20/385,175.40 = 228,943.60/x
  3. Step 3: Cross multiply
    256,937.20x = 385,175.40 × 228,943.60
  4. Step 4: Simplify right side
    256,937.20x = 88,183,442,707.44
  5. Step 5: Solve for x
    x = 88,183,442,707.44/256,937.20
  6. Step 6: Final answer
    x = 343,210.10

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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.