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Finding the Fourth Proportional to 648,651.20, 973,069.80 and 199,409.74

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Solution

The fourth proportional to 648,651.20, 973,069.80 and 199,409.74 is: 299,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,651.20 : 973,069.80 = 199,409.74 : x
  2. Step 2: Convert to fraction form
    648,651.20/973,069.80 = 199,409.74/x
  3. Step 3: Cross multiply
    648,651.20x = 973,069.80 × 199,409.74
  4. Step 4: Simplify right side
    648,651.20x = 194,039,595,819.85
  5. Step 5: Solve for x
    x = 194,039,595,819.85/648,651.20
  6. Step 6: Final answer
    x = 299,143.20

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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.