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Finding the Fourth Proportional to 401,285.47, 601,990.48 and 135,025.23

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Solution

The fourth proportional to 401,285.47, 601,990.48 and 135,025.23 is: 202,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,285.47 : 601,990.48 = 135,025.23 : x
  2. Step 2: Convert to fraction form
    401,285.47/601,990.48 = 135,025.23/x
  3. Step 3: Cross multiply
    401,285.47x = 601,990.48 × 135,025.23
  4. Step 4: Simplify right side
    401,285.47x = 81,283,902,059.86
  5. Step 5: Solve for x
    x = 81,283,902,059.86/401,285.47
  6. Step 6: Final answer
    x = 202,558.80

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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.