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Finding the Fourth Proportional to 310,912.56, 466,316.66 and 86,295.81

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Solution

The fourth proportional to 310,912.56, 466,316.66 and 86,295.81 is: 129,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.56 : 466,316.66 = 86,295.81 : x
  2. Step 2: Convert to fraction form
    310,912.56/466,316.66 = 86,295.81/x
  3. Step 3: Cross multiply
    310,912.56x = 466,316.66 × 86,295.81
  4. Step 4: Simplify right side
    310,912.56x = 40,241,173,891.19
  5. Step 5: Solve for x
    x = 40,241,173,891.19/310,912.56
  6. Step 6: Final answer
    x = 129,429.23

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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.