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Finding the Fourth Proportional to 323,010.56, 484,540 and 86,347.84

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Solution

The fourth proportional to 323,010.56, 484,540 and 86,347.84 is: 129,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,010.56 : 484,540 = 86,347.84 : x
  2. Step 2: Convert to fraction form
    323,010.56/484,540 = 86,347.84/x
  3. Step 3: Cross multiply
    323,010.56x = 484,540 × 86,347.84
  4. Step 4: Simplify right side
    323,010.56x = 41,838,982,393.60
  5. Step 5: Solve for x
    x = 41,838,982,393.60/323,010.56
  6. Step 6: Final answer
    x = 129,528.22

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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.