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Finding the Fourth Proportional to 291,850.14, 436,441.14 and 212,155.86

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Solution

The fourth proportional to 291,850.14, 436,441.14 and 212,155.86 is: 317,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,850.14 : 436,441.14 = 212,155.86 : x
  2. Step 2: Convert to fraction form
    291,850.14/436,441.14 = 212,155.86/x
  3. Step 3: Cross multiply
    291,850.14x = 436,441.14 × 212,155.86
  4. Step 4: Simplify right side
    291,850.14x = 92,593,545,396.08
  5. Step 5: Solve for x
    x = 92,593,545,396.08/291,850.14
  6. Step 6: Final answer
    x = 317,264.01

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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.