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Finding the Fourth Proportional to 300,076.76, 412,374.02 and 286,199.84

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Solution

The fourth proportional to 300,076.76, 412,374.02 and 286,199.84 is: 393,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,076.76 : 412,374.02 = 286,199.84 : x
  2. Step 2: Convert to fraction form
    300,076.76/412,374.02 = 286,199.84/x
  3. Step 3: Cross multiply
    300,076.76x = 412,374.02 × 286,199.84
  4. Step 4: Simplify right side
    300,076.76x = 118,021,378,544.16
  5. Step 5: Solve for x
    x = 118,021,378,544.16/300,076.76
  6. Step 6: Final answer
    x = 393,303.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.