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Finding the Fourth Proportional to 470,258.12, 705,383.41 and 279,454.89

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Solution

The fourth proportional to 470,258.12, 705,383.41 and 279,454.89 is: 419,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,258.12 : 705,383.41 = 279,454.89 : x
  2. Step 2: Convert to fraction form
    470,258.12/705,383.41 = 279,454.89/x
  3. Step 3: Cross multiply
    470,258.12x = 705,383.41 × 279,454.89
  4. Step 4: Simplify right side
    470,258.12x = 197,122,843,249.38
  5. Step 5: Solve for x
    x = 197,122,843,249.38/470,258.12
  6. Step 6: Final answer
    x = 419,180.10

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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.