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Finding the Fourth Proportional to 370,517.83, 511,307.89 and 209,369.41

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Solution

The fourth proportional to 370,517.83, 511,307.89 and 209,369.41 is: 288,925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,517.83 : 511,307.89 = 209,369.41 : x
  2. Step 2: Convert to fraction form
    370,517.83/511,307.89 = 209,369.41/x
  3. Step 3: Cross multiply
    370,517.83x = 511,307.89 × 209,369.41
  4. Step 4: Simplify right side
    370,517.83x = 107,052,231,257.65
  5. Step 5: Solve for x
    x = 107,052,231,257.65/370,517.83
  6. Step 6: Final answer
    x = 288,925.99

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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.