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Finding the Fourth Proportional to 802,902.06, 1,204,354 and 270,378.50

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Solution

The fourth proportional to 802,902.06, 1,204,354 and 270,378.50 is: 405,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,902.06 : 1,204,354 = 270,378.50 : x
  2. Step 2: Convert to fraction form
    802,902.06/1,204,354 = 270,378.50/x
  3. Step 3: Cross multiply
    802,902.06x = 1,204,354 × 270,378.50
  4. Step 4: Simplify right side
    802,902.06x = 325,631,427,989
  5. Step 5: Solve for x
    x = 325,631,427,989/802,902.06
  6. Step 6: Final answer
    x = 405,568.06

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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.