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Finding the Fourth Proportional to 340,963.20, 511,444.80 and 205,660.80

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Solution

The fourth proportional to 340,963.20, 511,444.80 and 205,660.80 is: 308,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,963.20 : 511,444.80 = 205,660.80 : x
  2. Step 2: Convert to fraction form
    340,963.20/511,444.80 = 205,660.80/x
  3. Step 3: Cross multiply
    340,963.20x = 511,444.80 × 205,660.80
  4. Step 4: Simplify right side
    340,963.20x = 105,184,146,723.84
  5. Step 5: Solve for x
    x = 105,184,146,723.84/340,963.20
  6. Step 6: Final answer
    x = 308,491.20

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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.