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Finding the Fourth Proportional to 302,822.40, 454,233.60 and 280,012.80

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Solution

The fourth proportional to 302,822.40, 454,233.60 and 280,012.80 is: 420,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,822.40 : 454,233.60 = 280,012.80 : x
  2. Step 2: Convert to fraction form
    302,822.40/454,233.60 = 280,012.80/x
  3. Step 3: Cross multiply
    302,822.40x = 454,233.60 × 280,012.80
  4. Step 4: Simplify right side
    302,822.40x = 127,191,222,190.08
  5. Step 5: Solve for x
    x = 127,191,222,190.08/302,822.40
  6. Step 6: Final answer
    x = 420,019.20

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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.