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Finding the Fourth Proportional to 419,702.58, 629,417.79 and 139,144.50

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Solution

The fourth proportional to 419,702.58, 629,417.79 and 139,144.50 is: 208,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,702.58 : 629,417.79 = 139,144.50 : x
  2. Step 2: Convert to fraction form
    419,702.58/629,417.79 = 139,144.50/x
  3. Step 3: Cross multiply
    419,702.58x = 629,417.79 × 139,144.50
  4. Step 4: Simplify right side
    419,702.58x = 87,580,023,680.66
  5. Step 5: Solve for x
    x = 87,580,023,680.66/419,702.58
  6. Step 6: Final answer
    x = 208,671.64

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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.