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Finding the Fourth Proportional to 542,441.46, 813,716.87 and 143,109.84

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Solution

The fourth proportional to 542,441.46, 813,716.87 and 143,109.84 is: 214,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,441.46 : 813,716.87 = 143,109.84 : x
  2. Step 2: Convert to fraction form
    542,441.46/813,716.87 = 143,109.84/x
  3. Step 3: Cross multiply
    542,441.46x = 813,716.87 × 143,109.84
  4. Step 4: Simplify right side
    542,441.46x = 116,450,891,071.00
  5. Step 5: Solve for x
    x = 116,450,891,071.00/542,441.46
  6. Step 6: Final answer
    x = 214,679.19

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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.