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Finding the Fourth Proportional to 384,362.33, 530,408.99 and 214,592.81

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Solution

The fourth proportional to 384,362.33, 530,408.99 and 214,592.81 is: 296,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,362.33 : 530,408.99 = 214,592.81 : x
  2. Step 2: Convert to fraction form
    384,362.33/530,408.99 = 214,592.81/x
  3. Step 3: Cross multiply
    384,362.33x = 530,408.99 × 214,592.81
  4. Step 4: Simplify right side
    384,362.33x = 113,821,953,497.80
  5. Step 5: Solve for x
    x = 113,821,953,497.80/384,362.33
  6. Step 6: Final answer
    x = 296,131.92

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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.