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Finding the Fourth Proportional to 641,283.82, 961,924.83 and 257,205.94

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Solution

The fourth proportional to 641,283.82, 961,924.83 and 257,205.94 is: 385,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,283.82 : 961,924.83 = 257,205.94 : x
  2. Step 2: Convert to fraction form
    641,283.82/961,924.83 = 257,205.94/x
  3. Step 3: Cross multiply
    641,283.82x = 961,924.83 × 257,205.94
  4. Step 4: Simplify right side
    641,283.82x = 247,412,780,109.49
  5. Step 5: Solve for x
    x = 247,412,780,109.49/641,283.82
  6. Step 6: Final answer
    x = 385,808.55

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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.