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Finding the Fourth Proportional to 312,811.20, 469,216.80 and 194,713.20

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Solution

The fourth proportional to 312,811.20, 469,216.80 and 194,713.20 is: 292,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,811.20 : 469,216.80 = 194,713.20 : x
  2. Step 2: Convert to fraction form
    312,811.20/469,216.80 = 194,713.20/x
  3. Step 3: Cross multiply
    312,811.20x = 469,216.80 × 194,713.20
  4. Step 4: Simplify right side
    312,811.20x = 91,362,704,621.76
  5. Step 5: Solve for x
    x = 91,362,704,621.76/312,811.20
  6. Step 6: Final answer
    x = 292,069.80

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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.