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Finding the Fourth Proportional to 291,264.24, 401,737.61 and 194,419.28

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Solution

The fourth proportional to 291,264.24, 401,737.61 and 194,419.28 is: 268,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,264.24 : 401,737.61 = 194,419.28 : x
  2. Step 2: Convert to fraction form
    291,264.24/401,737.61 = 194,419.28/x
  3. Step 3: Cross multiply
    291,264.24x = 401,737.61 × 194,419.28
  4. Step 4: Simplify right side
    291,264.24x = 78,105,538,375.51
  5. Step 5: Solve for x
    x = 78,105,538,375.51/291,264.24
  6. Step 6: Final answer
    x = 268,160.41

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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.