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Finding the Fourth Proportional to 370,810.58, 511,722.53 and 217,855.14

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Solution

The fourth proportional to 370,810.58, 511,722.53 and 217,855.14 is: 300,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,810.58 : 511,722.53 = 217,855.14 : x
  2. Step 2: Convert to fraction form
    370,810.58/511,722.53 = 217,855.14/x
  3. Step 3: Cross multiply
    370,810.58x = 511,722.53 × 217,855.14
  4. Step 4: Simplify right side
    370,810.58x = 111,481,383,414.30
  5. Step 5: Solve for x
    x = 111,481,383,414.30/370,810.58
  6. Step 6: Final answer
    x = 300,642.40

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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.