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Finding the Fourth Proportional to 401,485.60, 602,229.48 and 135,433

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Solution

The fourth proportional to 401,485.60, 602,229.48 and 135,433 is: 203,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,485.60 : 602,229.48 = 135,433 : x
  2. Step 2: Convert to fraction form
    401,485.60/602,229.48 = 135,433/x
  3. Step 3: Cross multiply
    401,485.60x = 602,229.48 × 135,433
  4. Step 4: Simplify right side
    401,485.60x = 81,561,745,164.84
  5. Step 5: Solve for x
    x = 81,561,745,164.84/401,485.60
  6. Step 6: Final answer
    x = 203,149.86

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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.