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Finding the Fourth Proportional to 298,291.72, 411,643.94 and 170,974.76

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Solution

The fourth proportional to 298,291.72, 411,643.94 and 170,974.76 is: 235,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,291.72 : 411,643.94 = 170,974.76 : x
  2. Step 2: Convert to fraction form
    298,291.72/411,643.94 = 170,974.76/x
  3. Step 3: Cross multiply
    298,291.72x = 411,643.94 × 170,974.76
  4. Step 4: Simplify right side
    298,291.72x = 70,380,723,846.95
  5. Step 5: Solve for x
    x = 70,380,723,846.95/298,291.72
  6. Step 6: Final answer
    x = 235,945.95

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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.