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Finding the Fourth Proportional to 291,087.78, 401,701.10 and 162,023.49

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Solution

The fourth proportional to 291,087.78, 401,701.10 and 162,023.49 is: 223,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,087.78 : 401,701.10 = 162,023.49 : x
  2. Step 2: Convert to fraction form
    291,087.78/401,701.10 = 162,023.49/x
  3. Step 3: Cross multiply
    291,087.78x = 401,701.10 × 162,023.49
  4. Step 4: Simplify right side
    291,087.78x = 65,085,013,348.72
  5. Step 5: Solve for x
    x = 65,085,013,348.72/291,087.78
  6. Step 6: Final answer
    x = 223,592.39

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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.