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Finding the Fourth Proportional to 318,943.20, 478,414.80 and 178,683.60

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Solution

The fourth proportional to 318,943.20, 478,414.80 and 178,683.60 is: 268,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,943.20 : 478,414.80 = 178,683.60 : x
  2. Step 2: Convert to fraction form
    318,943.20/478,414.80 = 178,683.60/x
  3. Step 3: Cross multiply
    318,943.20x = 478,414.80 × 178,683.60
  4. Step 4: Simplify right side
    318,943.20x = 85,484,878,757.28
  5. Step 5: Solve for x
    x = 85,484,878,757.28/318,943.20
  6. Step 6: Final answer
    x = 268,025.40

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1.5x scale

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.