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Finding the Fourth Proportional to 442,648.80, 663,896.40 and 162,021.60

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Solution

The fourth proportional to 442,648.80, 663,896.40 and 162,021.60 is: 243,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,648.80 : 663,896.40 = 162,021.60 : x
  2. Step 2: Convert to fraction form
    442,648.80/663,896.40 = 162,021.60/x
  3. Step 3: Cross multiply
    442,648.80x = 663,896.40 × 162,021.60
  4. Step 4: Simplify right side
    442,648.80x = 107,565,556,962.24
  5. Step 5: Solve for x
    x = 107,565,556,962.24/442,648.80
  6. Step 6: Final answer
    x = 243,004.29

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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.