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Finding the Fourth Proportional to 298,806.17, 412,352.58 and 162,840.15

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Solution

The fourth proportional to 298,806.17, 412,352.58 and 162,840.15 is: 224,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806.17 : 412,352.58 = 162,840.15 : x
  2. Step 2: Convert to fraction form
    298,806.17/412,352.58 = 162,840.15/x
  3. Step 3: Cross multiply
    298,806.17x = 412,352.58 × 162,840.15
  4. Step 4: Simplify right side
    298,806.17x = 67,147,555,980.09
  5. Step 5: Solve for x
    x = 67,147,555,980.09/298,806.17
  6. Step 6: Final answer
    x = 224,719.45

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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.