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Finding the Fourth Proportional to 380,523.60, 525,093.66 and 210,754.08

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Solution

The fourth proportional to 380,523.60, 525,093.66 and 210,754.08 is: 290,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,523.60 : 525,093.66 = 210,754.08 : x
  2. Step 2: Convert to fraction form
    380,523.60/525,093.66 = 210,754.08/x
  3. Step 3: Cross multiply
    380,523.60x = 525,093.66 × 210,754.08
  4. Step 4: Simplify right side
    380,523.60x = 110,665,631,227.13
  5. Step 5: Solve for x
    x = 110,665,631,227.13/380,523.60
  6. Step 6: Final answer
    x = 290,824.62

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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.