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Finding the Fourth Proportional to 298,805.80, 412,346.50 and 162,840.84

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Solution

The fourth proportional to 298,805.80, 412,346.50 and 162,840.84 is: 224,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.80 : 412,346.50 = 162,840.84 : x
  2. Step 2: Convert to fraction form
    298,805.80/412,346.50 = 162,840.84/x
  3. Step 3: Cross multiply
    298,805.80x = 412,346.50 × 162,840.84
  4. Step 4: Simplify right side
    298,805.80x = 67,146,850,431.06
  5. Step 5: Solve for x
    x = 67,146,850,431.06/298,805.80
  6. Step 6: Final answer
    x = 224,717.36

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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.