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Finding the Fourth Proportional to 318,978.28, 478,468.02 and 299,492.20

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Solution

The fourth proportional to 318,978.28, 478,468.02 and 299,492.20 is: 449,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,978.28 : 478,468.02 = 299,492.20 : x
  2. Step 2: Convert to fraction form
    318,978.28/478,468.02 = 299,492.20/x
  3. Step 3: Cross multiply
    318,978.28x = 478,468.02 × 299,492.20
  4. Step 4: Simplify right side
    318,978.28x = 143,297,439,939.44
  5. Step 5: Solve for x
    x = 143,297,439,939.44/318,978.28
  6. Step 6: Final answer
    x = 449,238.86

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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.