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Finding the Fourth Proportional to 412,428.20, 617,864.70 and 212,066.60

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Solution

The fourth proportional to 412,428.20, 617,864.70 and 212,066.60 is: 317,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,428.20 : 617,864.70 = 212,066.60 : x
  2. Step 2: Convert to fraction form
    412,428.20/617,864.70 = 212,066.60/x
  3. Step 3: Cross multiply
    412,428.20x = 617,864.70 × 212,066.60
  4. Step 4: Simplify right side
    412,428.20x = 131,028,466,189.02
  5. Step 5: Solve for x
    x = 131,028,466,189.02/412,428.20
  6. Step 6: Final answer
    x = 317,700.07

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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.