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Finding the Fourth Proportional to 513,589.28, 770,325.59 and 198,019.76

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Solution

The fourth proportional to 513,589.28, 770,325.59 and 198,019.76 is: 297,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,589.28 : 770,325.59 = 198,019.76 : x
  2. Step 2: Convert to fraction form
    513,589.28/770,325.59 = 198,019.76/x
  3. Step 3: Cross multiply
    513,589.28x = 770,325.59 × 198,019.76
  4. Step 4: Simplify right side
    513,589.28x = 152,539,685,097.08
  5. Step 5: Solve for x
    x = 152,539,685,097.08/513,589.28
  6. Step 6: Final answer
    x = 297,007.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.