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Finding the Fourth Proportional to 306,997.48, 459,645.90 and 156,914.60

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Solution

The fourth proportional to 306,997.48, 459,645.90 and 156,914.60 is: 234,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,997.48 : 459,645.90 = 156,914.60 : x
  2. Step 2: Convert to fraction form
    306,997.48/459,645.90 = 156,914.60/x
  3. Step 3: Cross multiply
    306,997.48x = 459,645.90 × 156,914.60
  4. Step 4: Simplify right side
    306,997.48x = 72,125,152,540.14
  5. Step 5: Solve for x
    x = 72,125,152,540.14/306,997.48
  6. Step 6: Final answer
    x = 234,937.28

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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.