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Finding the Fourth Proportional to 585,459, 878,190.66 and 142,227

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Solution

The fourth proportional to 585,459, 878,190.66 and 142,227 is: 213,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,459 : 878,190.66 = 142,227 : x
  2. Step 2: Convert to fraction form
    585,459/878,190.66 = 142,227/x
  3. Step 3: Cross multiply
    585,459x = 878,190.66 × 142,227
  4. Step 4: Simplify right side
    585,459x = 124,902,422,999.82
  5. Step 5: Solve for x
    x = 124,902,422,999.82/585,459
  6. Step 6: Final answer
    x = 213,341.02

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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.