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Finding the Fourth Proportional to 370,802, 511,775.88 and 211,826

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Solution

The fourth proportional to 370,802, 511,775.88 and 211,826 is: 292,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,802 : 511,775.88 = 211,826 : x
  2. Step 2: Convert to fraction form
    370,802/511,775.88 = 211,826/x
  3. Step 3: Cross multiply
    370,802x = 511,775.88 × 211,826
  4. Step 4: Simplify right side
    370,802x = 108,407,437,556.88
  5. Step 5: Solve for x
    x = 108,407,437,556.88/370,802
  6. Step 6: Final answer
    x = 292,359.37

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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.