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Finding the Fourth Proportional to 422,048.40, 633,364.20 and 303,820.80

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Solution

The fourth proportional to 422,048.40, 633,364.20 and 303,820.80 is: 455,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,048.40 : 633,364.20 = 303,820.80 : x
  2. Step 2: Convert to fraction form
    422,048.40/633,364.20 = 303,820.80/x
  3. Step 3: Cross multiply
    422,048.40x = 633,364.20 × 303,820.80
  4. Step 4: Simplify right side
    422,048.40x = 192,429,217,935.36
  5. Step 5: Solve for x
    x = 192,429,217,935.36/422,048.40
  6. Step 6: Final answer
    x = 455,941.11

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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.