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Finding the Fourth Proportional to 298,285.44, 411,639.36 and 164,146.56

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Solution

The fourth proportional to 298,285.44, 411,639.36 and 164,146.56 is: 226,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.44 : 411,639.36 = 164,146.56 : x
  2. Step 2: Convert to fraction form
    298,285.44/411,639.36 = 164,146.56/x
  3. Step 3: Cross multiply
    298,285.44x = 411,639.36 × 164,146.56
  4. Step 4: Simplify right side
    298,285.44x = 67,569,184,904.60
  5. Step 5: Solve for x
    x = 67,569,184,904.60/298,285.44
  6. Step 6: Final answer
    x = 226,525.25

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1.5x scale

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.