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Finding the Fourth Proportional to 310,137.56, 465,389.15 and 130,254.54

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Solution

The fourth proportional to 310,137.56, 465,389.15 and 130,254.54 is: 195,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,137.56 : 465,389.15 = 130,254.54 : x
  2. Step 2: Convert to fraction form
    310,137.56/465,389.15 = 130,254.54/x
  3. Step 3: Cross multiply
    310,137.56x = 465,389.15 × 130,254.54
  4. Step 4: Simplify right side
    310,137.56x = 60,619,049,002.97
  5. Step 5: Solve for x
    x = 60,619,049,002.97/310,137.56
  6. Step 6: Final answer
    x = 195,458.59

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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.