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Finding the Fourth Proportional to 300,989.42, 415,222.29 and 180,106.37

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Solution

The fourth proportional to 300,989.42, 415,222.29 and 180,106.37 is: 248,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,989.42 : 415,222.29 = 180,106.37 : x
  2. Step 2: Convert to fraction form
    300,989.42/415,222.29 = 180,106.37/x
  3. Step 3: Cross multiply
    300,989.42x = 415,222.29 × 180,106.37
  4. Step 4: Simplify right side
    300,989.42x = 74,784,177,318.88
  5. Step 5: Solve for x
    x = 74,784,177,318.88/300,989.42
  6. Step 6: Final answer
    x = 248,461.15

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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.