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Finding the Fourth Proportional to 305,222.16, 457,685.50 and 105,472.48

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Solution

The fourth proportional to 305,222.16, 457,685.50 and 105,472.48 is: 158,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,222.16 : 457,685.50 = 105,472.48 : x
  2. Step 2: Convert to fraction form
    305,222.16/457,685.50 = 105,472.48/x
  3. Step 3: Cross multiply
    305,222.16x = 457,685.50 × 105,472.48
  4. Step 4: Simplify right side
    305,222.16x = 48,273,224,745.04
  5. Step 5: Solve for x
    x = 48,273,224,745.04/305,222.16
  6. Step 6: Final answer
    x = 158,157.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.