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Finding the Fourth Proportional to 298,279.83, 411,626.90 and 162,313.70

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Solution

The fourth proportional to 298,279.83, 411,626.90 and 162,313.70 is: 223,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,279.83 : 411,626.90 = 162,313.70 : x
  2. Step 2: Convert to fraction form
    298,279.83/411,626.90 = 162,313.70/x
  3. Step 3: Cross multiply
    298,279.83x = 411,626.90 × 162,313.70
  4. Step 4: Simplify right side
    298,279.83x = 66,812,685,158.53
  5. Step 5: Solve for x
    x = 66,812,685,158.53/298,279.83
  6. Step 6: Final answer
    x = 223,993.31

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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.