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Finding the Fourth Proportional to 310,539.28, 465,782.92 and 85,902.48

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Solution

The fourth proportional to 310,539.28, 465,782.92 and 85,902.48 is: 128,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,539.28 : 465,782.92 = 85,902.48 : x
  2. Step 2: Convert to fraction form
    310,539.28/465,782.92 = 85,902.48/x
  3. Step 3: Cross multiply
    310,539.28x = 465,782.92 × 85,902.48
  4. Step 4: Simplify right side
    310,539.28x = 40,011,907,969.64
  5. Step 5: Solve for x
    x = 40,011,907,969.64/310,539.28
  6. Step 6: Final answer
    x = 128,846.53

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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.