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Finding the Fourth Proportional to 323,071.13, 484,606.56 and 86,407.66

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Solution

The fourth proportional to 323,071.13, 484,606.56 and 86,407.66 is: 129,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,071.13 : 484,606.56 = 86,407.66 : x
  2. Step 2: Convert to fraction form
    323,071.13/484,606.56 = 86,407.66/x
  3. Step 3: Cross multiply
    323,071.13x = 484,606.56 × 86,407.66
  4. Step 4: Simplify right side
    323,071.13x = 41,873,719,800.04
  5. Step 5: Solve for x
    x = 41,873,719,800.04/323,071.13
  6. Step 6: Final answer
    x = 129,611.46

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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.