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Finding the Fourth Proportional to 300,678.31, 414,778.74 and 185,920.26

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Solution

The fourth proportional to 300,678.31, 414,778.74 and 185,920.26 is: 256,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,678.31 : 414,778.74 = 185,920.26 : x
  2. Step 2: Convert to fraction form
    300,678.31/414,778.74 = 185,920.26/x
  3. Step 3: Cross multiply
    300,678.31x = 414,778.74 × 185,920.26
  4. Step 4: Simplify right side
    300,678.31x = 77,115,771,183.27
  5. Step 5: Solve for x
    x = 77,115,771,183.27/300,678.31
  6. Step 6: Final answer
    x = 256,472.68

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1.5x scale

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.