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Finding the Fourth Proportional to 303,141.15, 454,713.30 and 78,485.85

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Solution

The fourth proportional to 303,141.15, 454,713.30 and 78,485.85 is: 117,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,141.15 : 454,713.30 = 78,485.85 : x
  2. Step 2: Convert to fraction form
    303,141.15/454,713.30 = 78,485.85/x
  3. Step 3: Cross multiply
    303,141.15x = 454,713.30 × 78,485.85
  4. Step 4: Simplify right side
    303,141.15x = 35,688,559,856.81
  5. Step 5: Solve for x
    x = 35,688,559,856.81/303,141.15
  6. Step 6: Final answer
    x = 117,729.18

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Why These Related Problems?

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