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Finding the Fourth Proportional to 256,919.20, 385,148.40 and 228,925.60

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Solution

The fourth proportional to 256,919.20, 385,148.40 and 228,925.60 is: 343,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,919.20 : 385,148.40 = 228,925.60 : x
  2. Step 2: Convert to fraction form
    256,919.20/385,148.40 = 228,925.60/x
  3. Step 3: Cross multiply
    256,919.20x = 385,148.40 × 228,925.60
  4. Step 4: Simplify right side
    256,919.20x = 88,170,328,559.04
  5. Step 5: Solve for x
    x = 88,170,328,559.04/256,919.20
  6. Step 6: Final answer
    x = 343,183.10

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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.