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Finding the Fourth Proportional to 384,530.78, 576,794.34 and 213,672.02

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Solution

The fourth proportional to 384,530.78, 576,794.34 and 213,672.02 is: 320,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,530.78 : 576,794.34 = 213,672.02 : x
  2. Step 2: Convert to fraction form
    384,530.78/576,794.34 = 213,672.02/x
  3. Step 3: Cross multiply
    384,530.78x = 576,794.34 × 213,672.02
  4. Step 4: Simplify right side
    384,530.78x = 123,244,811,752.37
  5. Step 5: Solve for x
    x = 123,244,811,752.37/384,530.78
  6. Step 6: Final answer
    x = 320,507.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.