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Finding the Fourth Proportional to 401,203.09, 601,841.90 and 145,099.81

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Solution

The fourth proportional to 401,203.09, 601,841.90 and 145,099.81 is: 217,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,203.09 : 601,841.90 = 145,099.81 : x
  2. Step 2: Convert to fraction form
    401,203.09/601,841.90 = 145,099.81/x
  3. Step 3: Cross multiply
    401,203.09x = 601,841.90 × 145,099.81
  4. Step 4: Simplify right side
    401,203.09x = 87,327,145,340.04
  5. Step 5: Solve for x
    x = 87,327,145,340.04/401,203.09
  6. Step 6: Final answer
    x = 217,663.19

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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.