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Finding the Fourth Proportional to 390,408.96, 538,764.64 and 211,560.96

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Solution

The fourth proportional to 390,408.96, 538,764.64 and 211,560.96 is: 291,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,408.96 : 538,764.64 = 211,560.96 : x
  2. Step 2: Convert to fraction form
    390,408.96/538,764.64 = 211,560.96/x
  3. Step 3: Cross multiply
    390,408.96x = 538,764.64 × 211,560.96
  4. Step 4: Simplify right side
    390,408.96x = 113,981,564,452.45
  5. Step 5: Solve for x
    x = 113,981,564,452.45/390,408.96
  6. Step 6: Final answer
    x = 291,954.27

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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.