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Finding the Fourth Proportional to 418,701.24, 628,054.20 and 103,155.84

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Solution

The fourth proportional to 418,701.24, 628,054.20 and 103,155.84 is: 154,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,701.24 : 628,054.20 = 103,155.84 : x
  2. Step 2: Convert to fraction form
    418,701.24/628,054.20 = 103,155.84/x
  3. Step 3: Cross multiply
    418,701.24x = 628,054.20 × 103,155.84
  4. Step 4: Simplify right side
    418,701.24x = 64,787,458,566.53
  5. Step 5: Solve for x
    x = 64,787,458,566.53/418,701.24
  6. Step 6: Final answer
    x = 154,734.34

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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.