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Finding the Fourth Proportional to 470,046.30, 705,371.85 and 259,835.10

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Solution

The fourth proportional to 470,046.30, 705,371.85 and 259,835.10 is: 389,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,046.30 : 705,371.85 = 259,835.10 : x
  2. Step 2: Convert to fraction form
    470,046.30/705,371.85 = 259,835.10/x
  3. Step 3: Cross multiply
    470,046.30x = 705,371.85 × 259,835.10
  4. Step 4: Simplify right side
    470,046.30x = 183,280,365,181.94
  5. Step 5: Solve for x
    x = 183,280,365,181.94/470,046.30
  6. Step 6: Final answer
    x = 389,919.81

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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.