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Finding the Fourth Proportional to 206,027.60, 308,580.60 and 201,419.60

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Solution

The fourth proportional to 206,027.60, 308,580.60 and 201,419.60 is: 301,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,027.60 : 308,580.60 = 201,419.60 : x
  2. Step 2: Convert to fraction form
    206,027.60/308,580.60 = 201,419.60/x
  3. Step 3: Cross multiply
    206,027.60x = 308,580.60 × 201,419.60
  4. Step 4: Simplify right side
    206,027.60x = 62,154,181,019.76
  5. Step 5: Solve for x
    x = 62,154,181,019.76/206,027.60
  6. Step 6: Final answer
    x = 301,678.91

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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.