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Finding the Fourth Proportional to 290,541.44, 435,800.28 and 80,174

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Solution

The fourth proportional to 290,541.44, 435,800.28 and 80,174 is: 120,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,541.44 : 435,800.28 = 80,174 : x
  2. Step 2: Convert to fraction form
    290,541.44/435,800.28 = 80,174/x
  3. Step 3: Cross multiply
    290,541.44x = 435,800.28 × 80,174
  4. Step 4: Simplify right side
    290,541.44x = 34,939,851,648.72
  5. Step 5: Solve for x
    x = 34,939,851,648.72/290,541.44
  6. Step 6: Final answer
    x = 120,257.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.