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Finding the Fourth Proportional to 298,632.51, 412,107.12 and 162,664.88

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Solution

The fourth proportional to 298,632.51, 412,107.12 and 162,664.88 is: 224,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,632.51 : 412,107.12 = 162,664.88 : x
  2. Step 2: Convert to fraction form
    298,632.51/412,107.12 = 162,664.88/x
  3. Step 3: Cross multiply
    298,632.51x = 412,107.12 × 162,664.88
  4. Step 4: Simplify right side
    298,632.51x = 67,035,353,161.41
  5. Step 5: Solve for x
    x = 67,035,353,161.41/298,632.51
  6. Step 6: Final answer
    x = 224,474.40

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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.