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Finding the Fourth Proportional to 310,728.56, 465,701.64 and 133,025.36

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Solution

The fourth proportional to 310,728.56, 465,701.64 and 133,025.36 is: 199,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,728.56 : 465,701.64 = 133,025.36 : x
  2. Step 2: Convert to fraction form
    310,728.56/465,701.64 = 133,025.36/x
  3. Step 3: Cross multiply
    310,728.56x = 465,701.64 × 133,025.36
  4. Step 4: Simplify right side
    310,728.56x = 61,950,128,313.59
  5. Step 5: Solve for x
    x = 61,950,128,313.59/310,728.56
  6. Step 6: Final answer
    x = 199,370.56

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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.