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Finding the Fourth Proportional to 285,983.48, 428,978.50 and 86,305.59

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Solution

The fourth proportional to 285,983.48, 428,978.50 and 86,305.59 is: 129,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,983.48 : 428,978.50 = 86,305.59 : x
  2. Step 2: Convert to fraction form
    285,983.48/428,978.50 = 86,305.59/x
  3. Step 3: Cross multiply
    285,983.48x = 428,978.50 × 86,305.59
  4. Step 4: Simplify right side
    285,983.48x = 37,023,242,324.05
  5. Step 5: Solve for x
    x = 37,023,242,324.05/285,983.48
  6. Step 6: Final answer
    x = 129,459.37

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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.