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Finding the Fourth Proportional to 340,873.28, 511,275.36 and 119,240

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Solution

The fourth proportional to 340,873.28, 511,275.36 and 119,240 is: 178,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,873.28 : 511,275.36 = 119,240 : x
  2. Step 2: Convert to fraction form
    340,873.28/511,275.36 = 119,240/x
  3. Step 3: Cross multiply
    340,873.28x = 511,275.36 × 119,240
  4. Step 4: Simplify right side
    340,873.28x = 60,964,473,926.40
  5. Step 5: Solve for x
    x = 60,964,473,926.40/340,873.28
  6. Step 6: Final answer
    x = 178,847.91

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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.