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Finding the Fourth Proportional to 358,454.48, 494,609.32 and 205,464.52

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Solution

The fourth proportional to 358,454.48, 494,609.32 and 205,464.52 is: 283,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,454.48 : 494,609.32 = 205,464.52 : x
  2. Step 2: Convert to fraction form
    358,454.48/494,609.32 = 205,464.52/x
  3. Step 3: Cross multiply
    358,454.48x = 494,609.32 × 205,464.52
  4. Step 4: Simplify right side
    358,454.48x = 101,624,666,521.33
  5. Step 5: Solve for x
    x = 101,624,666,521.33/358,454.48
  6. Step 6: Final answer
    x = 283,507.87

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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.