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Finding the Fourth Proportional to 630,876.42, 946,463.79 and 204,411.54

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Solution

The fourth proportional to 630,876.42, 946,463.79 and 204,411.54 is: 306,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,876.42 : 946,463.79 = 204,411.54 : x
  2. Step 2: Convert to fraction form
    630,876.42/946,463.79 = 204,411.54/x
  3. Step 3: Cross multiply
    630,876.42x = 946,463.79 × 204,411.54
  4. Step 4: Simplify right side
    630,876.42x = 193,468,120,868.14
  5. Step 5: Solve for x
    x = 193,468,120,868.14/630,876.42
  6. Step 6: Final answer
    x = 306,665.64

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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.