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Finding the Fourth Proportional to 419,187.38, 628,873.85 and 152,947.13

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Solution

The fourth proportional to 419,187.38, 628,873.85 and 152,947.13 is: 229,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,187.38 : 628,873.85 = 152,947.13 : x
  2. Step 2: Convert to fraction form
    419,187.38/628,873.85 = 152,947.13/x
  3. Step 3: Cross multiply
    419,187.38x = 628,873.85 × 152,947.13
  4. Step 4: Simplify right side
    419,187.38x = 96,184,449,066.09
  5. Step 5: Solve for x
    x = 96,184,449,066.09/419,187.38
  6. Step 6: Final answer
    x = 229,454.54

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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.