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Finding the Fourth Proportional to 298,106.55, 411,392.34 and 162,143.46

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Solution

The fourth proportional to 298,106.55, 411,392.34 and 162,143.46 is: 223,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,106.55 : 411,392.34 = 162,143.46 : x
  2. Step 2: Convert to fraction form
    298,106.55/411,392.34 = 162,143.46/x
  3. Step 3: Cross multiply
    298,106.55x = 411,392.34 × 162,143.46
  4. Step 4: Simplify right side
    298,106.55x = 66,704,577,425.10
  5. Step 5: Solve for x
    x = 66,704,577,425.10/298,106.55
  6. Step 6: Final answer
    x = 223,760.86

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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.