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Finding the Fourth Proportional to 320,842.14, 442,743.13 and 177,593.64

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Solution

The fourth proportional to 320,842.14, 442,743.13 and 177,593.64 is: 245,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,842.14 : 442,743.13 = 177,593.64 : x
  2. Step 2: Convert to fraction form
    320,842.14/442,743.13 = 177,593.64/x
  3. Step 3: Cross multiply
    320,842.14x = 442,743.13 × 177,593.64
  4. Step 4: Simplify right side
    320,842.14x = 78,628,364,041.69
  5. Step 5: Solve for x
    x = 78,628,364,041.69/320,842.14
  6. Step 6: Final answer
    x = 245,068.69

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1.5x scale

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.