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Finding the Fourth Proportional to 291,245.88, 401,865.66 and 163,894.44

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Solution

The fourth proportional to 291,245.88, 401,865.66 and 163,894.44 is: 226,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,245.88 : 401,865.66 = 163,894.44 : x
  2. Step 2: Convert to fraction form
    291,245.88/401,865.66 = 163,894.44/x
  3. Step 3: Cross multiply
    291,245.88x = 401,865.66 × 163,894.44
  4. Step 4: Simplify right side
    291,245.88x = 65,863,547,300.93
  5. Step 5: Solve for x
    x = 65,863,547,300.93/291,245.88
  6. Step 6: Final answer
    x = 226,144.13

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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.