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Finding the Fourth Proportional to 442,087.89, 663,261.21 and 142,562.46

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Solution

The fourth proportional to 442,087.89, 663,261.21 and 142,562.46 is: 213,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,087.89 : 663,261.21 = 142,562.46 : x
  2. Step 2: Convert to fraction form
    442,087.89/663,261.21 = 142,562.46/x
  3. Step 3: Cross multiply
    442,087.89x = 663,261.21 × 142,562.46
  4. Step 4: Simplify right side
    442,087.89x = 94,556,149,720.18
  5. Step 5: Solve for x
    x = 94,556,149,720.18/442,087.89
  6. Step 6: Final answer
    x = 213,885.41

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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.