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Finding the Fourth Proportional to 418,716.72, 628,075.43 and 103,173.66

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Solution

The fourth proportional to 418,716.72, 628,075.43 and 103,173.66 is: 154,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,716.72 : 628,075.43 = 103,173.66 : x
  2. Step 2: Convert to fraction form
    418,716.72/628,075.43 = 103,173.66/x
  3. Step 3: Cross multiply
    418,716.72x = 628,075.43 × 103,173.66
  4. Step 4: Simplify right side
    418,716.72x = 64,800,840,353.31
  5. Step 5: Solve for x
    x = 64,800,840,353.31/418,716.72
  6. Step 6: Final answer
    x = 154,760.58

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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.