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Finding the Fourth Proportional to 320,838.66, 442,751.94 and 177,595.62

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Solution

The fourth proportional to 320,838.66, 442,751.94 and 177,595.62 is: 245,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,838.66 : 442,751.94 = 177,595.62 : x
  2. Step 2: Convert to fraction form
    320,838.66/442,751.94 = 177,595.62/x
  3. Step 3: Cross multiply
    320,838.66x = 442,751.94 × 177,595.62
  4. Step 4: Simplify right side
    320,838.66x = 78,630,805,290.50
  5. Step 5: Solve for x
    x = 78,630,805,290.50/320,838.66
  6. Step 6: Final answer
    x = 245,078.96

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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.