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Finding the Fourth Proportional to 384,113.76, 530,076.64 and 214,348.80

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Solution

The fourth proportional to 384,113.76, 530,076.64 and 214,348.80 is: 295,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,113.76 : 530,076.64 = 214,348.80 : x
  2. Step 2: Convert to fraction form
    384,113.76/530,076.64 = 214,348.80/x
  3. Step 3: Cross multiply
    384,113.76x = 530,076.64 × 214,348.80
  4. Step 4: Simplify right side
    384,113.76x = 113,621,291,692.03
  5. Step 5: Solve for x
    x = 113,621,291,692.03/384,113.76
  6. Step 6: Final answer
    x = 295,801.15

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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.