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Finding the Fourth Proportional to 338,330, 507,336.09 and 196,215.70

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Solution

The fourth proportional to 338,330, 507,336.09 and 196,215.70 is: 294,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,330 : 507,336.09 = 196,215.70 : x
  2. Step 2: Convert to fraction form
    338,330/507,336.09 = 196,215.70/x
  3. Step 3: Cross multiply
    338,330x = 507,336.09 × 196,215.70
  4. Step 4: Simplify right side
    338,330x = 99,547,306,034.61
  5. Step 5: Solve for x
    x = 99,547,306,034.61/338,330
  6. Step 6: Final answer
    x = 294,231.39

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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.