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Finding the Fourth Proportional to 318,476.28, 477,796.50 and 228,623.16

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Solution

The fourth proportional to 318,476.28, 477,796.50 and 228,623.16 is: 342,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,476.28 : 477,796.50 = 228,623.16 : x
  2. Step 2: Convert to fraction form
    318,476.28/477,796.50 = 228,623.16/x
  3. Step 3: Cross multiply
    318,476.28x = 477,796.50 × 228,623.16
  4. Step 4: Simplify right side
    318,476.28x = 109,235,345,666.94
  5. Step 5: Solve for x
    x = 109,235,345,666.94/318,476.28
  6. Step 6: Final answer
    x = 342,993.66

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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.