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Finding the Fourth Proportional to 457,299.88, 685,702.41 and 363,135.86

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Solution

The fourth proportional to 457,299.88, 685,702.41 and 363,135.86 is: 544,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,299.88 : 685,702.41 = 363,135.86 : x
  2. Step 2: Convert to fraction form
    457,299.88/685,702.41 = 363,135.86/x
  3. Step 3: Cross multiply
    457,299.88x = 685,702.41 × 363,135.86
  4. Step 4: Simplify right side
    457,299.88x = 249,003,134,183.17
  5. Step 5: Solve for x
    x = 249,003,134,183.17/457,299.88
  6. Step 6: Final answer
    x = 544,507.33

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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.