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Finding the Fourth Proportional to 401,135.28, 601,374.60 and 201,214.32

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Solution

The fourth proportional to 401,135.28, 601,374.60 and 201,214.32 is: 301,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,135.28 : 601,374.60 = 201,214.32 : x
  2. Step 2: Convert to fraction form
    401,135.28/601,374.60 = 201,214.32/x
  3. Step 3: Cross multiply
    401,135.28x = 601,374.60 × 201,214.32
  4. Step 4: Simplify right side
    401,135.28x = 121,005,181,204.27
  5. Step 5: Solve for x
    x = 121,005,181,204.27/401,135.28
  6. Step 6: Final answer
    x = 301,656.79

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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.