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Finding the Fourth Proportional to 309,418.32, 463,644.45 and 214,833

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Solution

The fourth proportional to 309,418.32, 463,644.45 and 214,833 is: 321,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,418.32 : 463,644.45 = 214,833 : x
  2. Step 2: Convert to fraction form
    309,418.32/463,644.45 = 214,833/x
  3. Step 3: Cross multiply
    309,418.32x = 463,644.45 × 214,833
  4. Step 4: Simplify right side
    309,418.32x = 99,606,128,126.85
  5. Step 5: Solve for x
    x = 99,606,128,126.85/309,418.32
  6. Step 6: Final answer
    x = 321,914.13

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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.