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Finding the Fourth Proportional to 263,988.72, 363,952 and 209,720.96

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Solution

The fourth proportional to 263,988.72, 363,952 and 209,720.96 is: 289,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,988.72 : 363,952 = 209,720.96 : x
  2. Step 2: Convert to fraction form
    263,988.72/363,952 = 209,720.96/x
  3. Step 3: Cross multiply
    263,988.72x = 363,952 × 209,720.96
  4. Step 4: Simplify right side
    263,988.72x = 76,328,362,833.92
  5. Step 5: Solve for x
    x = 76,328,362,833.92/263,988.72
  6. Step 6: Final answer
    x = 289,134.94

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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.