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Finding the Fourth Proportional to 423,878.40, 635,238.72 and 213,658.56

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Solution

The fourth proportional to 423,878.40, 635,238.72 and 213,658.56 is: 320,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,878.40 : 635,238.72 = 213,658.56 : x
  2. Step 2: Convert to fraction form
    423,878.40/635,238.72 = 213,658.56/x
  3. Step 3: Cross multiply
    423,878.40x = 635,238.72 × 213,658.56
  4. Step 4: Simplify right side
    423,878.40x = 135,724,190,171.44
  5. Step 5: Solve for x
    x = 135,724,190,171.44/423,878.40
  6. Step 6: Final answer
    x = 320,196.05

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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.