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Finding the Fourth Proportional to 630,884.45, 946,475.85 and 204,419.57

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Solution

The fourth proportional to 630,884.45, 946,475.85 and 204,419.57 is: 306,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,884.45 : 946,475.85 = 204,419.57 : x
  2. Step 2: Convert to fraction form
    630,884.45/946,475.85 = 204,419.57/x
  3. Step 3: Cross multiply
    630,884.45x = 946,475.85 × 204,419.57
  4. Step 4: Simplify right side
    630,884.45x = 193,478,181,540.01
  5. Step 5: Solve for x
    x = 193,478,181,540.01/630,884.45
  6. Step 6: Final answer
    x = 306,677.69

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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.