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Finding the Fourth Proportional to 401,460.60, 602,190.90 and 135,132.60

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Solution

The fourth proportional to 401,460.60, 602,190.90 and 135,132.60 is: 202,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,460.60 : 602,190.90 = 135,132.60 : x
  2. Step 2: Convert to fraction form
    401,460.60/602,190.90 = 135,132.60/x
  3. Step 3: Cross multiply
    401,460.60x = 602,190.90 × 135,132.60
  4. Step 4: Simplify right side
    401,460.60x = 81,375,622,013.34
  5. Step 5: Solve for x
    x = 81,375,622,013.34/401,460.60
  6. Step 6: Final answer
    x = 202,698.90

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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.