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Finding the Fourth Proportional to 309,286.49, 463,693.08 and 214,243.52

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Solution

The fourth proportional to 309,286.49, 463,693.08 and 214,243.52 is: 321,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,286.49 : 463,693.08 = 214,243.52 : x
  2. Step 2: Convert to fraction form
    309,286.49/463,693.08 = 214,243.52/x
  3. Step 3: Cross multiply
    309,286.49x = 463,693.08 × 214,243.52
  4. Step 4: Simplify right side
    309,286.49x = 99,343,237,658.84
  5. Step 5: Solve for x
    x = 99,343,237,658.84/309,286.49
  6. Step 6: Final answer
    x = 321,201.35

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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.