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Finding the Fourth Proportional to 200,475.34, 300,712.89 and 187,189.31

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Solution

The fourth proportional to 200,475.34, 300,712.89 and 187,189.31 is: 280,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,475.34 : 300,712.89 = 187,189.31 : x
  2. Step 2: Convert to fraction form
    200,475.34/300,712.89 = 187,189.31/x
  3. Step 3: Cross multiply
    200,475.34x = 300,712.89 × 187,189.31
  4. Step 4: Simplify right side
    200,475.34x = 56,290,238,788.01
  5. Step 5: Solve for x
    x = 56,290,238,788.01/200,475.34
  6. Step 6: Final answer
    x = 280,783.86

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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.