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Finding the Fourth Proportional to 358,662.86, 494,956.23 and 205,706.96

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Solution

The fourth proportional to 358,662.86, 494,956.23 and 205,706.96 is: 283,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,662.86 : 494,956.23 = 205,706.96 : x
  2. Step 2: Convert to fraction form
    358,662.86/494,956.23 = 205,706.96/x
  3. Step 3: Cross multiply
    358,662.86x = 494,956.23 × 205,706.96
  4. Step 4: Simplify right side
    358,662.86x = 101,815,941,406.36
  5. Step 5: Solve for x
    x = 101,815,941,406.36/358,662.86
  6. Step 6: Final answer
    x = 283,876.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.