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Finding the Fourth Proportional to 289,565.94, 433,868.85 and 204,906.63

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Solution

The fourth proportional to 289,565.94, 433,868.85 and 204,906.63 is: 307,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,565.94 : 433,868.85 = 204,906.63 : x
  2. Step 2: Convert to fraction form
    289,565.94/433,868.85 = 204,906.63/x
  3. Step 3: Cross multiply
    289,565.94x = 433,868.85 × 204,906.63
  4. Step 4: Simplify right side
    289,565.94x = 88,902,603,915.48
  5. Step 5: Solve for x
    x = 88,902,603,915.48/289,565.94
  6. Step 6: Final answer
    x = 307,020.24

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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.