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Finding the Fourth Proportional to 298,883.68, 412,457 and 162,915.15

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Solution

The fourth proportional to 298,883.68, 412,457 and 162,915.15 is: 224,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,883.68 : 412,457 = 162,915.15 : x
  2. Step 2: Convert to fraction form
    298,883.68/412,457 = 162,915.15/x
  3. Step 3: Cross multiply
    298,883.68x = 412,457 × 162,915.15
  4. Step 4: Simplify right side
    298,883.68x = 67,195,494,023.55
  5. Step 5: Solve for x
    x = 67,195,494,023.55/298,883.68
  6. Step 6: Final answer
    x = 224,821.56

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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.