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Finding the Fourth Proportional to 401,382.57, 601,652.40 and 135,050.64

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Solution

The fourth proportional to 401,382.57, 601,652.40 and 135,050.64 is: 202,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,382.57 : 601,652.40 = 135,050.64 : x
  2. Step 2: Convert to fraction form
    401,382.57/601,652.40 = 135,050.64/x
  3. Step 3: Cross multiply
    401,382.57x = 601,652.40 × 135,050.64
  4. Step 4: Simplify right side
    401,382.57x = 81,253,541,677.54
  5. Step 5: Solve for x
    x = 81,253,541,677.54/401,382.57
  6. Step 6: Final answer
    x = 202,434.16

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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.