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Finding the Fourth Proportional to 419,175.36, 628,840.80 and 138,695.04

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Solution

The fourth proportional to 419,175.36, 628,840.80 and 138,695.04 is: 208,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,175.36 : 628,840.80 = 138,695.04 : x
  2. Step 2: Convert to fraction form
    419,175.36/628,840.80 = 138,695.04/x
  3. Step 3: Cross multiply
    419,175.36x = 628,840.80 × 138,695.04
  4. Step 4: Simplify right side
    419,175.36x = 87,217,099,909.63
  5. Step 5: Solve for x
    x = 87,217,099,909.63/419,175.36
  6. Step 6: Final answer
    x = 208,068.29

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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.