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Finding the Fourth Proportional to 318,403.86, 439,214.85 and 198,964.50

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Solution

The fourth proportional to 318,403.86, 439,214.85 and 198,964.50 is: 274,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,403.86 : 439,214.85 = 198,964.50 : x
  2. Step 2: Convert to fraction form
    318,403.86/439,214.85 = 198,964.50/x
  3. Step 3: Cross multiply
    318,403.86x = 439,214.85 × 198,964.50
  4. Step 4: Simplify right side
    318,403.86x = 87,388,163,022.83
  5. Step 5: Solve for x
    x = 87,388,163,022.83/318,403.86
  6. Step 6: Final answer
    x = 274,456.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.