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Finding the Fourth Proportional to 509,634.45, 703,334.93 and 305,693.37

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Solution

The fourth proportional to 509,634.45, 703,334.93 and 305,693.37 is: 421,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,634.45 : 703,334.93 = 305,693.37 : x
  2. Step 2: Convert to fraction form
    509,634.45/703,334.93 = 305,693.37/x
  3. Step 3: Cross multiply
    509,634.45x = 703,334.93 × 305,693.37
  4. Step 4: Simplify right side
    509,634.45x = 215,004,823,461.95
  5. Step 5: Solve for x
    x = 215,004,823,461.95/509,634.45
  6. Step 6: Final answer
    x = 421,880.47

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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.