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Finding the Fourth Proportional to 801,824, 1,202,807.04 and 210,848

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Solution

The fourth proportional to 801,824, 1,202,807.04 and 210,848 is: 316,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,824 : 1,202,807.04 = 210,848 : x
  2. Step 2: Convert to fraction form
    801,824/1,202,807.04 = 210,848/x
  3. Step 3: Cross multiply
    801,824x = 1,202,807.04 × 210,848
  4. Step 4: Simplify right side
    801,824x = 253,609,458,769.92
  5. Step 5: Solve for x
    x = 253,609,458,769.92/801,824
  6. Step 6: Final answer
    x = 316,290.68

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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.