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Finding the Fourth Proportional to 300,729.46, 415,000.30 and 164,756.78

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Solution

The fourth proportional to 300,729.46, 415,000.30 and 164,756.78 is: 227,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,729.46 : 415,000.30 = 164,756.78 : x
  2. Step 2: Convert to fraction form
    300,729.46/415,000.30 = 164,756.78/x
  3. Step 3: Cross multiply
    300,729.46x = 415,000.30 × 164,756.78
  4. Step 4: Simplify right side
    300,729.46x = 68,374,113,127.03
  5. Step 5: Solve for x
    x = 68,374,113,127.03/300,729.46
  6. Step 6: Final answer
    x = 227,360.87

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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.