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Finding the Fourth Proportional to 434,469.84, 598,940.10 and 305,014.14

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Solution

The fourth proportional to 434,469.84, 598,940.10 and 305,014.14 is: 420,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,469.84 : 598,940.10 = 305,014.14 : x
  2. Step 2: Convert to fraction form
    434,469.84/598,940.10 = 305,014.14/x
  3. Step 3: Cross multiply
    434,469.84x = 598,940.10 × 305,014.14
  4. Step 4: Simplify right side
    434,469.84x = 182,685,199,513.01
  5. Step 5: Solve for x
    x = 182,685,199,513.01/434,469.84
  6. Step 6: Final answer
    x = 420,478.44

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1.5x scale

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.