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Finding the Fourth Proportional to 457,231.69, 685,736.77 and 190,847.80

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Solution

The fourth proportional to 457,231.69, 685,736.77 and 190,847.80 is: 286,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,231.69 : 685,736.77 = 190,847.80 : x
  2. Step 2: Convert to fraction form
    457,231.69/685,736.77 = 190,847.80/x
  3. Step 3: Cross multiply
    457,231.69x = 685,736.77 × 190,847.80
  4. Step 4: Simplify right side
    457,231.69x = 130,871,353,933.61
  5. Step 5: Solve for x
    x = 130,871,353,933.61/457,231.69
  6. Step 6: Final answer
    x = 286,225.47

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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.