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Finding the Fourth Proportional to 407,997.60, 612,165.12 and 324,638.88

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Solution

The fourth proportional to 407,997.60, 612,165.12 and 324,638.88 is: 487,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,997.60 : 612,165.12 = 324,638.88 : x
  2. Step 2: Convert to fraction form
    407,997.60/612,165.12 = 324,638.88/x
  3. Step 3: Cross multiply
    407,997.60x = 612,165.12 × 324,638.88
  4. Step 4: Simplify right side
    407,997.60x = 198,732,598,931.87
  5. Step 5: Solve for x
    x = 198,732,598,931.87/407,997.60
  6. Step 6: Final answer
    x = 487,092.57

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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.