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Finding the Fourth Proportional to 340,739.94, 511,111.80 and 140,952.09

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Solution

The fourth proportional to 340,739.94, 511,111.80 and 140,952.09 is: 211,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,739.94 : 511,111.80 = 140,952.09 : x
  2. Step 2: Convert to fraction form
    340,739.94/511,111.80 = 140,952.09/x
  3. Step 3: Cross multiply
    340,739.94x = 511,111.80 × 140,952.09
  4. Step 4: Simplify right side
    340,739.94x = 72,042,276,433.66
  5. Step 5: Solve for x
    x = 72,042,276,433.66/340,739.94
  6. Step 6: Final answer
    x = 211,428.92

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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.