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Finding the Fourth Proportional to 384,760.50, 530,969.49 and 214,994.64

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Solution

The fourth proportional to 384,760.50, 530,969.49 and 214,994.64 is: 296,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,760.50 : 530,969.49 = 214,994.64 : x
  2. Step 2: Convert to fraction form
    384,760.50/530,969.49 = 214,994.64/x
  3. Step 3: Cross multiply
    384,760.50x = 530,969.49 × 214,994.64
  4. Step 4: Simplify right side
    384,760.50x = 114,155,594,353.53
  5. Step 5: Solve for x
    x = 114,155,594,353.53/384,760.50
  6. Step 6: Final answer
    x = 296,692.60

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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.