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Finding the Fourth Proportional to 268,838.87, 370,954.23 and 154,096.40

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Solution

The fourth proportional to 268,838.87, 370,954.23 and 154,096.40 is: 212,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,838.87 : 370,954.23 = 154,096.40 : x
  2. Step 2: Convert to fraction form
    268,838.87/370,954.23 = 154,096.40/x
  3. Step 3: Cross multiply
    268,838.87x = 370,954.23 × 154,096.40
  4. Step 4: Simplify right side
    268,838.87x = 57,162,711,407.77
  5. Step 5: Solve for x
    x = 57,162,711,407.77/268,838.87
  6. Step 6: Final answer
    x = 212,628.15

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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.