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Finding the Fourth Proportional to 401,384.09, 601,654.67 and 135,052.14

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Solution

The fourth proportional to 401,384.09, 601,654.67 and 135,052.14 is: 202,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,384.09 : 601,654.67 = 135,052.14 : x
  2. Step 2: Convert to fraction form
    401,384.09/601,654.67 = 135,052.14/x
  3. Step 3: Cross multiply
    401,384.09x = 601,654.67 × 135,052.14
  4. Step 4: Simplify right side
    401,384.09x = 81,254,750,049.23
  5. Step 5: Solve for x
    x = 81,254,750,049.23/401,384.09
  6. Step 6: Final answer
    x = 202,436.40

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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.