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Finding the Fourth Proportional to 403,315.20, 605,167.20 and 284,731.20

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Solution

The fourth proportional to 403,315.20, 605,167.20 and 284,731.20 is: 427,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,315.20 : 605,167.20 = 284,731.20 : x
  2. Step 2: Convert to fraction form
    403,315.20/605,167.20 = 284,731.20/x
  3. Step 3: Cross multiply
    403,315.20x = 605,167.20 × 284,731.20
  4. Step 4: Simplify right side
    403,315.20x = 172,309,983,056.64
  5. Step 5: Solve for x
    x = 172,309,983,056.64/403,315.20
  6. Step 6: Final answer
    x = 427,234.04

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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.