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Finding the Fourth Proportional to 268,275, 370,219.50 and 149,043

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Solution

The fourth proportional to 268,275, 370,219.50 and 149,043 is: 205,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,275 : 370,219.50 = 149,043 : x
  2. Step 2: Convert to fraction form
    268,275/370,219.50 = 149,043/x
  3. Step 3: Cross multiply
    268,275x = 370,219.50 × 149,043
  4. Step 4: Simplify right side
    268,275x = 55,178,624,938.50
  5. Step 5: Solve for x
    x = 55,178,624,938.50/268,275
  6. Step 6: Final answer
    x = 205,679.34

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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.