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Finding the Fourth Proportional to 306,499.53, 422,962.79 and 177,443.45

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Solution

The fourth proportional to 306,499.53, 422,962.79 and 177,443.45 is: 244,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,499.53 : 422,962.79 = 177,443.45 : x
  2. Step 2: Convert to fraction form
    306,499.53/422,962.79 = 177,443.45/x
  3. Step 3: Cross multiply
    306,499.53x = 422,962.79 × 177,443.45
  4. Step 4: Simplify right side
    306,499.53x = 75,051,976,679.23
  5. Step 5: Solve for x
    x = 75,051,976,679.23/306,499.53
  6. Step 6: Final answer
    x = 244,868.16

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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.