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Finding the Fourth Proportional to 384,000.72, 529,957.80 and 214,250.64

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Solution

The fourth proportional to 384,000.72, 529,957.80 and 214,250.64 is: 295,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.72 : 529,957.80 = 214,250.64 : x
  2. Step 2: Convert to fraction form
    384,000.72/529,957.80 = 214,250.64/x
  3. Step 3: Cross multiply
    384,000.72x = 529,957.80 × 214,250.64
  4. Step 4: Simplify right side
    384,000.72x = 113,543,797,822.99
  5. Step 5: Solve for x
    x = 113,543,797,822.99/384,000.72
  6. Step 6: Final answer
    x = 295,686.42

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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.