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Finding the Fourth Proportional to 318,093.96, 478,132.74 and 200,520.84

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Solution

The fourth proportional to 318,093.96, 478,132.74 and 200,520.84 is: 301,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,093.96 : 478,132.74 = 200,520.84 : x
  2. Step 2: Convert to fraction form
    318,093.96/478,132.74 = 200,520.84/x
  3. Step 3: Cross multiply
    318,093.96x = 478,132.74 × 200,520.84
  4. Step 4: Simplify right side
    318,093.96x = 95,875,578,656.30
  5. Step 5: Solve for x
    x = 95,875,578,656.30/318,093.96
  6. Step 6: Final answer
    x = 301,406.47

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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.