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Finding the Fourth Proportional to 281,358.36, 388,311.48 and 160,471.95

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Solution

The fourth proportional to 281,358.36, 388,311.48 and 160,471.95 is: 221,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,358.36 : 388,311.48 = 160,471.95 : x
  2. Step 2: Convert to fraction form
    281,358.36/388,311.48 = 160,471.95/x
  3. Step 3: Cross multiply
    281,358.36x = 388,311.48 × 160,471.95
  4. Step 4: Simplify right side
    281,358.36x = 62,313,100,402.99
  5. Step 5: Solve for x
    x = 62,313,100,402.99/281,358.36
  6. Step 6: Final answer
    x = 221,472.36

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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.