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Finding the Fourth Proportional to 470,257.62, 705,382.66 and 279,454.39

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Solution

The fourth proportional to 470,257.62, 705,382.66 and 279,454.39 is: 419,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,257.62 : 705,382.66 = 279,454.39 : x
  2. Step 2: Convert to fraction form
    470,257.62/705,382.66 = 279,454.39/x
  3. Step 3: Cross multiply
    470,257.62x = 705,382.66 × 279,454.39
  4. Step 4: Simplify right side
    470,257.62x = 197,122,279,552.74
  5. Step 5: Solve for x
    x = 197,122,279,552.74/470,257.62
  6. Step 6: Final answer
    x = 419,179.34

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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.