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Finding the Fourth Proportional to 309,280.07, 463,993.92 and 109,617.91

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Solution

The fourth proportional to 309,280.07, 463,993.92 and 109,617.91 is: 164,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,280.07 : 463,993.92 = 109,617.91 : x
  2. Step 2: Convert to fraction form
    309,280.07/463,993.92 = 109,617.91/x
  3. Step 3: Cross multiply
    309,280.07x = 463,993.92 × 109,617.91
  4. Step 4: Simplify right side
    309,280.07x = 50,862,042,603.12
  5. Step 5: Solve for x
    x = 50,862,042,603.12/309,280.07
  6. Step 6: Final answer
    x = 164,453.02

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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.