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Finding the Fourth Proportional to 434,805, 599,727.36 and 420,174

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Solution

The fourth proportional to 434,805, 599,727.36 and 420,174 is: 579,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,805 : 599,727.36 = 420,174 : x
  2. Step 2: Convert to fraction form
    434,805/599,727.36 = 420,174/x
  3. Step 3: Cross multiply
    434,805x = 599,727.36 × 420,174
  4. Step 4: Simplify right side
    434,805x = 251,989,843,760.64
  5. Step 5: Solve for x
    x = 251,989,843,760.64/434,805
  6. Step 6: Final answer
    x = 579,546.79

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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.