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Finding the Fourth Proportional to 280,188.99, 419,913.18 and 102,524.94

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Solution

The fourth proportional to 280,188.99, 419,913.18 and 102,524.94 is: 153,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,188.99 : 419,913.18 = 102,524.94 : x
  2. Step 2: Convert to fraction form
    280,188.99/419,913.18 = 102,524.94/x
  3. Step 3: Cross multiply
    280,188.99x = 419,913.18 × 102,524.94
  4. Step 4: Simplify right side
    280,188.99x = 43,051,573,584.71
  5. Step 5: Solve for x
    x = 43,051,573,584.71/280,188.99
  6. Step 6: Final answer
    x = 153,651.91

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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.