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Finding the Fourth Proportional to 289,955.28, 400,141.44 and 160,896

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Solution

The fourth proportional to 289,955.28, 400,141.44 and 160,896 is: 222,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,955.28 : 400,141.44 = 160,896 : x
  2. Step 2: Convert to fraction form
    289,955.28/400,141.44 = 160,896/x
  3. Step 3: Cross multiply
    289,955.28x = 400,141.44 × 160,896
  4. Step 4: Simplify right side
    289,955.28x = 64,381,157,130.24
  5. Step 5: Solve for x
    x = 64,381,157,130.24/289,955.28
  6. Step 6: Final answer
    x = 222,038.23

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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.