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Finding the Fourth Proportional to 305,020.80, 421,077.60 and 203,106.60

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Solution

The fourth proportional to 305,020.80, 421,077.60 and 203,106.60 is: 280,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,020.80 : 421,077.60 = 203,106.60 : x
  2. Step 2: Convert to fraction form
    305,020.80/421,077.60 = 203,106.60/x
  3. Step 3: Cross multiply
    305,020.80x = 421,077.60 × 203,106.60
  4. Step 4: Simplify right side
    305,020.80x = 85,523,639,672.16
  5. Step 5: Solve for x
    x = 85,523,639,672.16/305,020.80
  6. Step 6: Final answer
    x = 280,386.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.