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Finding the Fourth Proportional to 310,627.89, 465,942.47 and 85,988.97

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Solution

The fourth proportional to 310,627.89, 465,942.47 and 85,988.97 is: 128,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,627.89 : 465,942.47 = 85,988.97 : x
  2. Step 2: Convert to fraction form
    310,627.89/465,942.47 = 85,988.97/x
  3. Step 3: Cross multiply
    310,627.89x = 465,942.47 × 85,988.97
  4. Step 4: Simplify right side
    310,627.89x = 40,065,912,644.61
  5. Step 5: Solve for x
    x = 40,065,912,644.61/310,627.89
  6. Step 6: Final answer
    x = 128,983.63

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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.