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Finding the Fourth Proportional to 309,234.78, 463,829.49 and 98,816.22

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Solution

The fourth proportional to 309,234.78, 463,829.49 and 98,816.22 is: 148,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,234.78 : 463,829.49 = 98,816.22 : x
  2. Step 2: Convert to fraction form
    309,234.78/463,829.49 = 98,816.22/x
  3. Step 3: Cross multiply
    309,234.78x = 463,829.49 × 98,816.22
  4. Step 4: Simplify right side
    309,234.78x = 45,833,876,926.33
  5. Step 5: Solve for x
    x = 45,833,876,926.33/309,234.78
  6. Step 6: Final answer
    x = 148,217.08

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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.