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Finding the Fourth Proportional to 320,841.76, 442,742.60 and 177,593.28

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Solution

The fourth proportional to 320,841.76, 442,742.60 and 177,593.28 is: 245,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,841.76 : 442,742.60 = 177,593.28 : x
  2. Step 2: Convert to fraction form
    320,841.76/442,742.60 = 177,593.28/x
  3. Step 3: Cross multiply
    320,841.76x = 442,742.60 × 177,593.28
  4. Step 4: Simplify right side
    320,841.76x = 78,628,110,529.73
  5. Step 5: Solve for x
    x = 78,628,110,529.73/320,841.76
  6. Step 6: Final answer
    x = 245,068.19

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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.