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Finding the Fourth Proportional to 457,142.91, 685,823.85 and 190,755.24

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Solution

The fourth proportional to 457,142.91, 685,823.85 and 190,755.24 is: 286,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,142.91 : 685,823.85 = 190,755.24 : x
  2. Step 2: Convert to fraction form
    457,142.91/685,823.85 = 190,755.24/x
  3. Step 3: Cross multiply
    457,142.91x = 685,823.85 × 190,755.24
  4. Step 4: Simplify right side
    457,142.91x = 130,824,493,104.47
  5. Step 5: Solve for x
    x = 130,824,493,104.47/457,142.91
  6. Step 6: Final answer
    x = 286,178.55

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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.