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Finding the Fourth Proportional to 288,016.43, 431,401.28 and 208,956.38

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Solution

The fourth proportional to 288,016.43, 431,401.28 and 208,956.38 is: 312,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,016.43 : 431,401.28 = 208,956.38 : x
  2. Step 2: Convert to fraction form
    288,016.43/431,401.28 = 208,956.38/x
  3. Step 3: Cross multiply
    288,016.43x = 431,401.28 × 208,956.38
  4. Step 4: Simplify right side
    288,016.43x = 90,144,046,594.38
  5. Step 5: Solve for x
    x = 90,144,046,594.38/288,016.43
  6. Step 6: Final answer
    x = 312,982.31

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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.