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Finding the Fourth Proportional to 200,403.09, 300,807.21 and 177,755.46

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Solution

The fourth proportional to 200,403.09, 300,807.21 and 177,755.46 is: 266,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,403.09 : 300,807.21 = 177,755.46 : x
  2. Step 2: Convert to fraction form
    200,403.09/300,807.21 = 177,755.46/x
  3. Step 3: Cross multiply
    200,403.09x = 300,807.21 × 177,755.46
  4. Step 4: Simplify right side
    200,403.09x = 53,470,123,984.87
  5. Step 5: Solve for x
    x = 53,470,123,984.87/200,403.09
  6. Step 6: Final answer
    x = 266,812.87

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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.