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Finding the Fourth Proportional to 318,464.64, 477,592.32 and 140,967.84

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Solution

The fourth proportional to 318,464.64, 477,592.32 and 140,967.84 is: 211,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,464.64 : 477,592.32 = 140,967.84 : x
  2. Step 2: Convert to fraction form
    318,464.64/477,592.32 = 140,967.84/x
  3. Step 3: Cross multiply
    318,464.64x = 477,592.32 × 140,967.84
  4. Step 4: Simplify right side
    318,464.64x = 67,325,157,750.99
  5. Step 5: Solve for x
    x = 67,325,157,750.99/318,464.64
  6. Step 6: Final answer
    x = 211,405.44

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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.