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Finding the Fourth Proportional to 384,139.59, 530,162.78 and 214,408.95

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Solution

The fourth proportional to 384,139.59, 530,162.78 and 214,408.95 is: 295,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,139.59 : 530,162.78 = 214,408.95 : x
  2. Step 2: Convert to fraction form
    384,139.59/530,162.78 = 214,408.95/x
  3. Step 3: Cross multiply
    384,139.59x = 530,162.78 × 214,408.95
  4. Step 4: Simplify right side
    384,139.59x = 113,671,644,988.88
  5. Step 5: Solve for x
    x = 113,671,644,988.88/384,139.59
  6. Step 6: Final answer
    x = 295,912.34

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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.