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Finding the Fourth Proportional to 279,122.96, 418,494.92 and 142,009.06

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Solution

The fourth proportional to 279,122.96, 418,494.92 and 142,009.06 is: 212,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,122.96 : 418,494.92 = 142,009.06 : x
  2. Step 2: Convert to fraction form
    279,122.96/418,494.92 = 142,009.06/x
  3. Step 3: Cross multiply
    279,122.96x = 418,494.92 × 142,009.06
  4. Step 4: Simplify right side
    279,122.96x = 59,430,070,203.98
  5. Step 5: Solve for x
    x = 59,430,070,203.98/279,122.96
  6. Step 6: Final answer
    x = 212,917.17

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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.