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Finding the Fourth Proportional to 370,808.58, 511,719.77 and 217,853.14

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Solution

The fourth proportional to 370,808.58, 511,719.77 and 217,853.14 is: 300,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,808.58 : 511,719.77 = 217,853.14 : x
  2. Step 2: Convert to fraction form
    370,808.58/511,719.77 = 217,853.14/x
  3. Step 3: Cross multiply
    370,808.58x = 511,719.77 × 217,853.14
  4. Step 4: Simplify right side
    370,808.58x = 111,479,758,694.58
  5. Step 5: Solve for x
    x = 111,479,758,694.58/370,808.58
  6. Step 6: Final answer
    x = 300,639.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.