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Finding the Fourth Proportional to 301,084.20, 451,107.90 and 142,972.20

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Solution

The fourth proportional to 301,084.20, 451,107.90 and 142,972.20 is: 214,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,084.20 : 451,107.90 = 142,972.20 : x
  2. Step 2: Convert to fraction form
    301,084.20/451,107.90 = 142,972.20/x
  3. Step 3: Cross multiply
    301,084.20x = 451,107.90 × 142,972.20
  4. Step 4: Simplify right side
    301,084.20x = 64,495,888,900.38
  5. Step 5: Solve for x
    x = 64,495,888,900.38/301,084.20
  6. Step 6: Final answer
    x = 214,212.13

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1.5x scale

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.