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Finding the Fourth Proportional to 318,478.86, 439,318.35 and 199,039.50

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Solution

The fourth proportional to 318,478.86, 439,318.35 and 199,039.50 is: 274,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,478.86 : 439,318.35 = 199,039.50 : x
  2. Step 2: Convert to fraction form
    318,478.86/439,318.35 = 199,039.50/x
  3. Step 3: Cross multiply
    318,478.86x = 439,318.35 × 199,039.50
  4. Step 4: Simplify right side
    318,478.86x = 87,441,704,724.83
  5. Step 5: Solve for x
    x = 87,441,704,724.83/318,478.86
  6. Step 6: Final answer
    x = 274,560.47

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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.