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Finding the Fourth Proportional to 298,599.30, 412,074.84 and 162,638.40

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Solution

The fourth proportional to 298,599.30, 412,074.84 and 162,638.40 is: 224,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,599.30 : 412,074.84 = 162,638.40 : x
  2. Step 2: Convert to fraction form
    298,599.30/412,074.84 = 162,638.40/x
  3. Step 3: Cross multiply
    298,599.30x = 412,074.84 × 162,638.40
  4. Step 4: Simplify right side
    298,599.30x = 67,019,192,657.86
  5. Step 5: Solve for x
    x = 67,019,192,657.86/298,599.30
  6. Step 6: Final answer
    x = 224,445.24

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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.