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Finding the Fourth Proportional to 370,819.89, 511,728.59 and 209,680.67

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Solution

The fourth proportional to 370,819.89, 511,728.59 and 209,680.67 is: 289,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,819.89 : 511,728.59 = 209,680.67 : x
  2. Step 2: Convert to fraction form
    370,819.89/511,728.59 = 209,680.67/x
  3. Step 3: Cross multiply
    370,819.89x = 511,728.59 × 209,680.67
  4. Step 4: Simplify right side
    370,819.89x = 107,299,595,412.88
  5. Step 5: Solve for x
    x = 107,299,595,412.88/370,819.89
  6. Step 6: Final answer
    x = 289,357.71

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1.5x scale

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.