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Finding the Fourth Proportional to 309,534.72, 463,704.16 and 228,338.56

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Solution

The fourth proportional to 309,534.72, 463,704.16 and 228,338.56 is: 342,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,534.72 : 463,704.16 = 228,338.56 : x
  2. Step 2: Convert to fraction form
    309,534.72/463,704.16 = 228,338.56/x
  3. Step 3: Cross multiply
    309,534.72x = 463,704.16 × 228,338.56
  4. Step 4: Simplify right side
    309,534.72x = 105,881,540,160.41
  5. Step 5: Solve for x
    x = 105,881,540,160.41/309,534.72
  6. Step 6: Final answer
    x = 342,066.76

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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.