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Finding the Fourth Proportional to 309,185.78, 463,755.99 and 98,767.22

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Solution

The fourth proportional to 309,185.78, 463,755.99 and 98,767.22 is: 148,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,185.78 : 463,755.99 = 98,767.22 : x
  2. Step 2: Convert to fraction form
    309,185.78/463,755.99 = 98,767.22/x
  3. Step 3: Cross multiply
    309,185.78x = 463,755.99 × 98,767.22
  4. Step 4: Simplify right side
    309,185.78x = 45,803,889,890.65
  5. Step 5: Solve for x
    x = 45,803,889,890.65/309,185.78
  6. Step 6: Final answer
    x = 148,143.59

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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.