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Finding the Fourth Proportional to 801,833, 1,202,820.54 and 210,857

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Solution

The fourth proportional to 801,833, 1,202,820.54 and 210,857 is: 316,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,833 : 1,202,820.54 = 210,857 : x
  2. Step 2: Convert to fraction form
    801,833/1,202,820.54 = 210,857/x
  3. Step 3: Cross multiply
    801,833x = 1,202,820.54 × 210,857
  4. Step 4: Simplify right side
    801,833x = 253,623,130,602.78
  5. Step 5: Solve for x
    x = 253,623,130,602.78/801,833
  6. Step 6: Final answer
    x = 316,304.18

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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.