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Finding the Fourth Proportional to 457,046.18, 685,633.11 and 190,745.72

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Solution

The fourth proportional to 457,046.18, 685,633.11 and 190,745.72 is: 286,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,046.18 : 685,633.11 = 190,745.72 : x
  2. Step 2: Convert to fraction form
    457,046.18/685,633.11 = 190,745.72/x
  3. Step 3: Cross multiply
    457,046.18x = 685,633.11 × 190,745.72
  4. Step 4: Simplify right side
    457,046.18x = 130,781,579,650.45
  5. Step 5: Solve for x
    x = 130,781,579,650.45/457,046.18
  6. Step 6: Final answer
    x = 286,145.22

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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.