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Finding the Fourth Proportional to 358,047.62, 494,118.72 and 205,115.36

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Solution

The fourth proportional to 358,047.62, 494,118.72 and 205,115.36 is: 283,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,047.62 : 494,118.72 = 205,115.36 : x
  2. Step 2: Convert to fraction form
    358,047.62/494,118.72 = 205,115.36/x
  3. Step 3: Cross multiply
    358,047.62x = 494,118.72 × 205,115.36
  4. Step 4: Simplify right side
    358,047.62x = 101,351,338,109.96
  5. Step 5: Solve for x
    x = 101,351,338,109.96/358,047.62
  6. Step 6: Final answer
    x = 283,066.65

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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.