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Finding the Fourth Proportional to 340,796.16, 511,380.95 and 127,711.08

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Solution

The fourth proportional to 340,796.16, 511,380.95 and 127,711.08 is: 191,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,796.16 : 511,380.95 = 127,711.08 : x
  2. Step 2: Convert to fraction form
    340,796.16/511,380.95 = 127,711.08/x
  3. Step 3: Cross multiply
    340,796.16x = 511,380.95 × 127,711.08
  4. Step 4: Simplify right side
    340,796.16x = 65,309,012,777.37
  5. Step 5: Solve for x
    x = 65,309,012,777.37/340,796.16
  6. Step 6: Final answer
    x = 191,636.59

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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.