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Finding the Fourth Proportional to 340,838.40, 511,257.60 and 304,096.80

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Solution

The fourth proportional to 340,838.40, 511,257.60 and 304,096.80 is: 456,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,838.40 : 511,257.60 = 304,096.80 : x
  2. Step 2: Convert to fraction form
    340,838.40/511,257.60 = 304,096.80/x
  3. Step 3: Cross multiply
    340,838.40x = 511,257.60 × 304,096.80
  4. Step 4: Simplify right side
    340,838.40x = 155,471,800,135.68
  5. Step 5: Solve for x
    x = 155,471,800,135.68/340,838.40
  6. Step 6: Final answer
    x = 456,145.20

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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.