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Finding the Fourth Proportional to 358,379.28, 494,357.72 and 224,010

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Solution

The fourth proportional to 358,379.28, 494,357.72 and 224,010 is: 309,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,379.28 : 494,357.72 = 224,010 : x
  2. Step 2: Convert to fraction form
    358,379.28/494,357.72 = 224,010/x
  3. Step 3: Cross multiply
    358,379.28x = 494,357.72 × 224,010
  4. Step 4: Simplify right side
    358,379.28x = 110,741,071,737.15
  5. Step 5: Solve for x
    x = 110,741,071,737.15/358,379.28
  6. Step 6: Final answer
    x = 309,005.23

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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.