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Finding the Fourth Proportional to 298,700.46, 412,205.40 and 162,734

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Solution

The fourth proportional to 298,700.46, 412,205.40 and 162,734 is: 224,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,700.46 : 412,205.40 = 162,734 : x
  2. Step 2: Convert to fraction form
    298,700.46/412,205.40 = 162,734/x
  3. Step 3: Cross multiply
    298,700.46x = 412,205.40 × 162,734
  4. Step 4: Simplify right side
    298,700.46x = 67,079,833,563.60
  5. Step 5: Solve for x
    x = 67,079,833,563.60/298,700.46
  6. Step 6: Final answer
    x = 224,572.25

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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.