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Finding the Fourth Proportional to 300,120.84, 413,927.60 and 254,948.36

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Solution

The fourth proportional to 300,120.84, 413,927.60 and 254,948.36 is: 351,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,120.84 : 413,927.60 = 254,948.36 : x
  2. Step 2: Convert to fraction form
    300,120.84/413,927.60 = 254,948.36/x
  3. Step 3: Cross multiply
    300,120.84x = 413,927.60 × 254,948.36
  4. Step 4: Simplify right side
    300,120.84x = 105,530,162,778.74
  5. Step 5: Solve for x
    x = 105,530,162,778.74/300,120.84
  6. Step 6: Final answer
    x = 351,625.57

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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.