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Finding the Fourth Proportional to 200,362.92, 300,431.79 and 137,254.20

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Solution

The fourth proportional to 200,362.92, 300,431.79 and 137,254.20 is: 205,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,362.92 : 300,431.79 = 137,254.20 : x
  2. Step 2: Convert to fraction form
    200,362.92/300,431.79 = 137,254.20/x
  3. Step 3: Cross multiply
    200,362.92x = 300,431.79 × 137,254.20
  4. Step 4: Simplify right side
    200,362.92x = 41,235,524,991.02
  5. Step 5: Solve for x
    x = 41,235,524,991.02/200,362.92
  6. Step 6: Final answer
    x = 205,804.17

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1.5x scale

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.