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Finding the Fourth Proportional to 434,392.25, 599,105.75 and 305,756.51

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Solution

The fourth proportional to 434,392.25, 599,105.75 and 305,756.51 is: 421,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,392.25 : 599,105.75 = 305,756.51 : x
  2. Step 2: Convert to fraction form
    434,392.25/599,105.75 = 305,756.51/x
  3. Step 3: Cross multiply
    434,392.25x = 599,105.75 × 305,756.51
  4. Step 4: Simplify right side
    434,392.25x = 183,180,485,503.09
  5. Step 5: Solve for x
    x = 183,180,485,503.09/434,392.25
  6. Step 6: Final answer
    x = 421,693.73

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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.