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Finding the Fourth Proportional to 298,730.70, 412,243.18 and 162,765.77

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Solution

The fourth proportional to 298,730.70, 412,243.18 and 162,765.77 is: 224,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,730.70 : 412,243.18 = 162,765.77 : x
  2. Step 2: Convert to fraction form
    298,730.70/412,243.18 = 162,765.77/x
  3. Step 3: Cross multiply
    298,730.70x = 412,243.18 × 162,765.77
  4. Step 4: Simplify right side
    298,730.70x = 67,099,076,845.98
  5. Step 5: Solve for x
    x = 67,099,076,845.98/298,730.70
  6. Step 6: Final answer
    x = 224,613.93

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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.