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Finding the Fourth Proportional to 383,713.20, 575,618.40 and 205,976.16

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Solution

The fourth proportional to 383,713.20, 575,618.40 and 205,976.16 is: 308,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,713.20 : 575,618.40 = 205,976.16 : x
  2. Step 2: Convert to fraction form
    383,713.20/575,618.40 = 205,976.16/x
  3. Step 3: Cross multiply
    383,713.20x = 575,618.40 × 205,976.16
  4. Step 4: Simplify right side
    383,713.20x = 118,563,667,657.34
  5. Step 5: Solve for x
    x = 118,563,667,657.34/383,713.20
  6. Step 6: Final answer
    x = 308,990.33

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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.