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Finding the Fourth Proportional to 393,313.30, 589,969.95 and 109,003.30

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Solution

The fourth proportional to 393,313.30, 589,969.95 and 109,003.30 is: 163,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,313.30 : 589,969.95 = 109,003.30 : x
  2. Step 2: Convert to fraction form
    393,313.30/589,969.95 = 109,003.30/x
  3. Step 3: Cross multiply
    393,313.30x = 589,969.95 × 109,003.30
  4. Step 4: Simplify right side
    393,313.30x = 64,308,671,450.84
  5. Step 5: Solve for x
    x = 64,308,671,450.84/393,313.30
  6. Step 6: Final answer
    x = 163,504.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.