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Finding the Fourth Proportional to 298,275.60, 411,625.26 and 162,315.27

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Solution

The fourth proportional to 298,275.60, 411,625.26 and 162,315.27 is: 223,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,275.60 : 411,625.26 = 162,315.27 : x
  2. Step 2: Convert to fraction form
    298,275.60/411,625.26 = 162,315.27/x
  3. Step 3: Cross multiply
    298,275.60x = 411,625.26 × 162,315.27
  4. Step 4: Simplify right side
    298,275.60x = 66,813,065,215.72
  5. Step 5: Solve for x
    x = 66,813,065,215.72/298,275.60
  6. Step 6: Final answer
    x = 223,997.76

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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.