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Finding the Fourth Proportional to 298,853.85, 412,415.68 and 162,887.80

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Solution

The fourth proportional to 298,853.85, 412,415.68 and 162,887.80 is: 224,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,853.85 : 412,415.68 = 162,887.80 : x
  2. Step 2: Convert to fraction form
    298,853.85/412,415.68 = 162,887.80/x
  3. Step 3: Cross multiply
    298,853.85x = 412,415.68 × 162,887.80
  4. Step 4: Simplify right side
    298,853.85x = 67,177,482,800.70
  5. Step 5: Solve for x
    x = 67,177,482,800.70/298,853.85
  6. Step 6: Final answer
    x = 224,783.73

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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.