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Finding the Fourth Proportional to 290,811.20, 436,216.80 and 206,830.40

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Solution

The fourth proportional to 290,811.20, 436,216.80 and 206,830.40 is: 310,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,811.20 : 436,216.80 = 206,830.40 : x
  2. Step 2: Convert to fraction form
    290,811.20/436,216.80 = 206,830.40/x
  3. Step 3: Cross multiply
    290,811.20x = 436,216.80 × 206,830.40
  4. Step 4: Simplify right side
    290,811.20x = 90,222,895,230.72
  5. Step 5: Solve for x
    x = 90,222,895,230.72/290,811.20
  6. Step 6: Final answer
    x = 310,245.60

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1.5x scale

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.