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Finding the Fourth Proportional to 285,986.22, 428,982.40 and 86,308.40

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Solution

The fourth proportional to 285,986.22, 428,982.40 and 86,308.40 is: 129,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,986.22 : 428,982.40 = 86,308.40 : x
  2. Step 2: Convert to fraction form
    285,986.22/428,982.40 = 86,308.40/x
  3. Step 3: Cross multiply
    285,986.22x = 428,982.40 × 86,308.40
  4. Step 4: Simplify right side
    285,986.22x = 37,024,784,572.16
  5. Step 5: Solve for x
    x = 37,024,784,572.16/285,986.22
  6. Step 6: Final answer
    x = 129,463.53

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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.