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Finding the Fourth Proportional to 513,207.54, 769,842.81 and 197,665.38

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Solution

The fourth proportional to 513,207.54, 769,842.81 and 197,665.38 is: 296,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,207.54 : 769,842.81 = 197,665.38 : x
  2. Step 2: Convert to fraction form
    513,207.54/769,842.81 = 197,665.38/x
  3. Step 3: Cross multiply
    513,207.54x = 769,842.81 × 197,665.38
  4. Step 4: Simplify right side
    513,207.54x = 152,171,271,578.92
  5. Step 5: Solve for x
    x = 152,171,271,578.92/513,207.54
  6. Step 6: Final answer
    x = 296,510.20

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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.