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Finding the Fourth Proportional to 303,378.40, 455,942.40 and 264,887.20

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Solution

The fourth proportional to 303,378.40, 455,942.40 and 264,887.20 is: 398,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,378.40 : 455,942.40 = 264,887.20 : x
  2. Step 2: Convert to fraction form
    303,378.40/455,942.40 = 264,887.20/x
  3. Step 3: Cross multiply
    303,378.40x = 455,942.40 × 264,887.20
  4. Step 4: Simplify right side
    303,378.40x = 120,773,305,697.28
  5. Step 5: Solve for x
    x = 120,773,305,697.28/303,378.40
  6. Step 6: Final answer
    x = 398,094.61

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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.