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Finding the Fourth Proportional to 318,310.10, 477,465.15 and 96,665.30

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Solution

The fourth proportional to 318,310.10, 477,465.15 and 96,665.30 is: 144,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,310.10 : 477,465.15 = 96,665.30 : x
  2. Step 2: Convert to fraction form
    318,310.10/477,465.15 = 96,665.30/x
  3. Step 3: Cross multiply
    318,310.10x = 477,465.15 × 96,665.30
  4. Step 4: Simplify right side
    318,310.10x = 46,154,311,964.30
  5. Step 5: Solve for x
    x = 46,154,311,964.30/318,310.10
  6. Step 6: Final answer
    x = 144,997.95

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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.