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Finding the Fourth Proportional to 317,469.16, 475,840.86 and 130,249

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Solution

The fourth proportional to 317,469.16, 475,840.86 and 130,249 is: 195,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,469.16 : 475,840.86 = 130,249 : x
  2. Step 2: Convert to fraction form
    317,469.16/475,840.86 = 130,249/x
  3. Step 3: Cross multiply
    317,469.16x = 475,840.86 × 130,249
  4. Step 4: Simplify right side
    317,469.16x = 61,977,796,174.14
  5. Step 5: Solve for x
    x = 61,977,796,174.14/317,469.16
  6. Step 6: Final answer
    x = 195,224.62

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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.