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Finding the Fourth Proportional to 370,394.46, 511,141.62 and 209,246.58

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Solution

The fourth proportional to 370,394.46, 511,141.62 and 209,246.58 is: 288,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,394.46 : 511,141.62 = 209,246.58 : x
  2. Step 2: Convert to fraction form
    370,394.46/511,141.62 = 209,246.58/x
  3. Step 3: Cross multiply
    370,394.46x = 511,141.62 × 209,246.58
  4. Step 4: Simplify right side
    370,394.46x = 106,954,635,880.66
  5. Step 5: Solve for x
    x = 106,954,635,880.66/370,394.46
  6. Step 6: Final answer
    x = 288,758.74

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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.