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Finding the Fourth Proportional to 398,604, 550,073.52 and 219,756

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Solution

The fourth proportional to 398,604, 550,073.52 and 219,756 is: 303,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604 : 550,073.52 = 219,756 : x
  2. Step 2: Convert to fraction form
    398,604/550,073.52 = 219,756/x
  3. Step 3: Cross multiply
    398,604x = 550,073.52 × 219,756
  4. Step 4: Simplify right side
    398,604x = 120,881,956,461.12
  5. Step 5: Solve for x
    x = 120,881,956,461.12/398,604
  6. Step 6: Final answer
    x = 303,263.28

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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.