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Finding the Fourth Proportional to 418,368.66, 628,073.01 and 416,450.58

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Solution

The fourth proportional to 418,368.66, 628,073.01 and 416,450.58 is: 625,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,368.66 : 628,073.01 = 416,450.58 : x
  2. Step 2: Convert to fraction form
    418,368.66/628,073.01 = 416,450.58/x
  3. Step 3: Cross multiply
    418,368.66x = 628,073.01 × 416,450.58
  4. Step 4: Simplify right side
    418,368.66x = 261,561,369,296.85
  5. Step 5: Solve for x
    x = 261,561,369,296.85/418,368.66
  6. Step 6: Final answer
    x = 625,193.51

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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.