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Finding the Fourth Proportional to 802,145.84, 1,203,220.85 and 203,107.10

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Solution

The fourth proportional to 802,145.84, 1,203,220.85 and 203,107.10 is: 304,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,145.84 : 1,203,220.85 = 203,107.10 : x
  2. Step 2: Convert to fraction form
    802,145.84/1,203,220.85 = 203,107.10/x
  3. Step 3: Cross multiply
    802,145.84x = 1,203,220.85 × 203,107.10
  4. Step 4: Simplify right side
    802,145.84x = 244,382,690,471.40
  5. Step 5: Solve for x
    x = 244,382,690,471.40/802,145.84
  6. Step 6: Final answer
    x = 304,661.17

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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.