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Finding the Fourth Proportional to 434,388.41, 599,100.57 and 305,752.71

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Solution

The fourth proportional to 434,388.41, 599,100.57 and 305,752.71 is: 421,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,388.41 : 599,100.57 = 305,752.71 : x
  2. Step 2: Convert to fraction form
    434,388.41/599,100.57 = 305,752.71/x
  3. Step 3: Cross multiply
    434,388.41x = 599,100.57 × 305,752.71
  4. Step 4: Simplify right side
    434,388.41x = 183,176,622,840.05
  5. Step 5: Solve for x
    x = 183,176,622,840.05/434,388.41
  6. Step 6: Final answer
    x = 421,688.56

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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.