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Finding the Fourth Proportional to 298,956.90, 412,560.30 and 162,990.84

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Solution

The fourth proportional to 298,956.90, 412,560.30 and 162,990.84 is: 224,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,956.90 : 412,560.30 = 162,990.84 : x
  2. Step 2: Convert to fraction form
    298,956.90/412,560.30 = 162,990.84/x
  3. Step 3: Cross multiply
    298,956.90x = 412,560.30 × 162,990.84
  4. Step 4: Simplify right side
    298,956.90x = 67,243,549,847.65
  5. Step 5: Solve for x
    x = 67,243,549,847.65/298,956.90
  6. Step 6: Final answer
    x = 224,927.24

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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.