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Finding the Fourth Proportional to 306,998.48, 459,647.40 and 156,915.60

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Solution

The fourth proportional to 306,998.48, 459,647.40 and 156,915.60 is: 234,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,998.48 : 459,647.40 = 156,915.60 : x
  2. Step 2: Convert to fraction form
    306,998.48/459,647.40 = 156,915.60/x
  3. Step 3: Cross multiply
    306,998.48x = 459,647.40 × 156,915.60
  4. Step 4: Simplify right side
    306,998.48x = 72,125,847,559.44
  5. Step 5: Solve for x
    x = 72,125,847,559.44/306,998.48
  6. Step 6: Final answer
    x = 234,938.78

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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.