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Finding the Fourth Proportional to 802,705.02, 1,204,235.01 and 270,208.50

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Solution

The fourth proportional to 802,705.02, 1,204,235.01 and 270,208.50 is: 405,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,705.02 : 1,204,235.01 = 270,208.50 : x
  2. Step 2: Convert to fraction form
    802,705.02/1,204,235.01 = 270,208.50/x
  3. Step 3: Cross multiply
    802,705.02x = 1,204,235.01 × 270,208.50
  4. Step 4: Simplify right side
    802,705.02x = 325,394,535,699.59
  5. Step 5: Solve for x
    x = 325,394,535,699.59/802,705.02
  6. Step 6: Final answer
    x = 405,372.49

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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.