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Finding the Fourth Proportional to 419,290.88, 628,969.14 and 138,808.13

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Solution

The fourth proportional to 419,290.88, 628,969.14 and 138,808.13 is: 208,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,290.88 : 628,969.14 = 138,808.13 : x
  2. Step 2: Convert to fraction form
    419,290.88/628,969.14 = 138,808.13/x
  3. Step 3: Cross multiply
    419,290.88x = 628,969.14 × 138,808.13
  4. Step 4: Simplify right side
    419,290.88x = 87,306,027,006.26
  5. Step 5: Solve for x
    x = 87,306,027,006.26/419,290.88
  6. Step 6: Final answer
    x = 208,223.06

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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.