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Finding the Fourth Proportional to 312,675.58, 469,641 and 186,561.94

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Solution

The fourth proportional to 312,675.58, 469,641 and 186,561.94 is: 280,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,675.58 : 469,641 = 186,561.94 : x
  2. Step 2: Convert to fraction form
    312,675.58/469,641 = 186,561.94/x
  3. Step 3: Cross multiply
    312,675.58x = 469,641 × 186,561.94
  4. Step 4: Simplify right side
    312,675.58x = 87,617,136,063.54
  5. Step 5: Solve for x
    x = 87,617,136,063.54/312,675.58
  6. Step 6: Final answer
    x = 280,217.39

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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.