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Finding the Fourth Proportional to 423,740.40, 635,286.60 and 213,529.20

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Solution

The fourth proportional to 423,740.40, 635,286.60 and 213,529.20 is: 320,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,740.40 : 635,286.60 = 213,529.20 : x
  2. Step 2: Convert to fraction form
    423,740.40/635,286.60 = 213,529.20/x
  3. Step 3: Cross multiply
    423,740.40x = 635,286.60 × 213,529.20
  4. Step 4: Simplify right side
    423,740.40x = 135,652,239,468.72
  5. Step 5: Solve for x
    x = 135,652,239,468.72/423,740.40
  6. Step 6: Final answer
    x = 320,130.53

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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.