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Finding the Fourth Proportional to 370,820.89, 511,729.97 and 209,681.67

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Solution

The fourth proportional to 370,820.89, 511,729.97 and 209,681.67 is: 289,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,820.89 : 511,729.97 = 209,681.67 : x
  2. Step 2: Convert to fraction form
    370,820.89/511,729.97 = 209,681.67/x
  3. Step 3: Cross multiply
    370,820.89x = 511,729.97 × 209,681.67
  4. Step 4: Simplify right side
    370,820.89x = 107,300,394,698.65
  5. Step 5: Solve for x
    x = 107,300,394,698.65/370,820.89
  6. Step 6: Final answer
    x = 289,359.09

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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.