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Finding the Fourth Proportional to 340,759.44, 511,141.05 and 140,971.59

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Solution

The fourth proportional to 340,759.44, 511,141.05 and 140,971.59 is: 211,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,759.44 : 511,141.05 = 140,971.59 : x
  2. Step 2: Convert to fraction form
    340,759.44/511,141.05 = 140,971.59/x
  3. Step 3: Cross multiply
    340,759.44x = 511,141.05 × 140,971.59
  4. Step 4: Simplify right side
    340,759.44x = 72,056,366,532.77
  5. Step 5: Solve for x
    x = 72,056,366,532.77/340,759.44
  6. Step 6: Final answer
    x = 211,458.17

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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.