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Finding the Fourth Proportional to 361,911.75, 543,144.77 and 260,661.17

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Solution

The fourth proportional to 361,911.75, 543,144.77 and 260,661.17 is: 391,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,911.75 : 543,144.77 = 260,661.17 : x
  2. Step 2: Convert to fraction form
    361,911.75/543,144.77 = 260,661.17/x
  3. Step 3: Cross multiply
    361,911.75x = 543,144.77 × 260,661.17
  4. Step 4: Simplify right side
    361,911.75x = 141,576,751,526.51
  5. Step 5: Solve for x
    x = 141,576,751,526.51/361,911.75
  6. Step 6: Final answer
    x = 391,191.36

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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.