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Finding the Fourth Proportional to 309,805.88, 427,532.33 and 173,821.06

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Solution

The fourth proportional to 309,805.88, 427,532.33 and 173,821.06 is: 239,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,805.88 : 427,532.33 = 173,821.06 : x
  2. Step 2: Convert to fraction form
    309,805.88/427,532.33 = 173,821.06/x
  3. Step 3: Cross multiply
    309,805.88x = 427,532.33 × 173,821.06
  4. Step 4: Simplify right side
    309,805.88x = 74,314,122,784.87
  5. Step 5: Solve for x
    x = 74,314,122,784.87/309,805.88
  6. Step 6: Final answer
    x = 239,873.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.