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Finding the Fourth Proportional to 397,806.72, 549,176.40 and 306,958.56

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Solution

The fourth proportional to 397,806.72, 549,176.40 and 306,958.56 is: 423,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,806.72 : 549,176.40 = 306,958.56 : x
  2. Step 2: Convert to fraction form
    397,806.72/549,176.40 = 306,958.56/x
  3. Step 3: Cross multiply
    397,806.72x = 549,176.40 × 306,958.56
  4. Step 4: Simplify right side
    397,806.72x = 168,574,396,929.98
  5. Step 5: Solve for x
    x = 168,574,396,929.98/397,806.72
  6. Step 6: Final answer
    x = 423,759.55

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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.