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Finding the Fourth Proportional to 392,805.63, 589,466.75 and 215,437.14

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Solution

The fourth proportional to 392,805.63, 589,466.75 and 215,437.14 is: 323,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,805.63 : 589,466.75 = 215,437.14 : x
  2. Step 2: Convert to fraction form
    392,805.63/589,466.75 = 215,437.14/x
  3. Step 3: Cross multiply
    392,805.63x = 589,466.75 × 215,437.14
  4. Step 4: Simplify right side
    392,805.63x = 126,993,029,667.91
  5. Step 5: Solve for x
    x = 126,993,029,667.91/392,805.63
  6. Step 6: Final answer
    x = 323,297.38

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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.