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Finding the Fourth Proportional to 422,622.66, 633,878.48 and 209,307.54

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Solution

The fourth proportional to 422,622.66, 633,878.48 and 209,307.54 is: 313,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,622.66 : 633,878.48 = 209,307.54 : x
  2. Step 2: Convert to fraction form
    422,622.66/633,878.48 = 209,307.54/x
  3. Step 3: Cross multiply
    422,622.66x = 633,878.48 × 209,307.54
  4. Step 4: Simplify right side
    422,622.66x = 132,675,545,307.74
  5. Step 5: Solve for x
    x = 132,675,545,307.74/422,622.66
  6. Step 6: Final answer
    x = 313,933.82

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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.