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Finding the Fourth Proportional to 483,114.30, 721,418.13 and 394,543.50

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Solution

The fourth proportional to 483,114.30, 721,418.13 and 394,543.50 is: 589,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,114.30 : 721,418.13 = 394,543.50 : x
  2. Step 2: Convert to fraction form
    483,114.30/721,418.13 = 394,543.50/x
  3. Step 3: Cross multiply
    483,114.30x = 721,418.13 × 394,543.50
  4. Step 4: Simplify right side
    483,114.30x = 284,630,832,000.94
  5. Step 5: Solve for x
    x = 284,630,832,000.94/483,114.30
  6. Step 6: Final answer
    x = 589,158.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.