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Finding the Fourth Proportional to 298,765.98, 412,291.71 and 162,800.82

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Solution

The fourth proportional to 298,765.98, 412,291.71 and 162,800.82 is: 224,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,765.98 : 412,291.71 = 162,800.82 : x
  2. Step 2: Convert to fraction form
    298,765.98/412,291.71 = 162,800.82/x
  3. Step 3: Cross multiply
    298,765.98x = 412,291.71 × 162,800.82
  4. Step 4: Simplify right side
    298,765.98x = 67,121,428,467.20
  5. Step 5: Solve for x
    x = 67,121,428,467.20/298,765.98
  6. Step 6: Final answer
    x = 224,662.22

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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.