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Finding the Fourth Proportional to 404,216.40, 606,823.80 and 254,456.40

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Solution

The fourth proportional to 404,216.40, 606,823.80 and 254,456.40 is: 381,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,216.40 : 606,823.80 = 254,456.40 : x
  2. Step 2: Convert to fraction form
    404,216.40/606,823.80 = 254,456.40/x
  3. Step 3: Cross multiply
    404,216.40x = 606,823.80 × 254,456.40
  4. Step 4: Simplify right side
    404,216.40x = 154,410,199,582.32
  5. Step 5: Solve for x
    x = 154,410,199,582.32/404,216.40
  6. Step 6: Final answer
    x = 381,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.