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Finding the Fourth Proportional to 280,463.60, 419,820.60 and 201,731.60

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Solution

The fourth proportional to 280,463.60, 419,820.60 and 201,731.60 is: 301,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463.60 : 419,820.60 = 201,731.60 : x
  2. Step 2: Convert to fraction form
    280,463.60/419,820.60 = 201,731.60/x
  3. Step 3: Cross multiply
    280,463.60x = 419,820.60 × 201,731.60
  4. Step 4: Simplify right side
    280,463.60x = 84,691,081,350.96
  5. Step 5: Solve for x
    x = 84,691,081,350.96/280,463.60
  6. Step 6: Final answer
    x = 301,968.17

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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.