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Finding the Fourth Proportional to 310,629.60, 465,892.50 and 86,012.74

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Solution

The fourth proportional to 310,629.60, 465,892.50 and 86,012.74 is: 129,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,629.60 : 465,892.50 = 86,012.74 : x
  2. Step 2: Convert to fraction form
    310,629.60/465,892.50 = 86,012.74/x
  3. Step 3: Cross multiply
    310,629.60x = 465,892.50 × 86,012.74
  4. Step 4: Simplify right side
    310,629.60x = 40,072,690,470.45
  5. Step 5: Solve for x
    x = 40,072,690,470.45/310,629.60
  6. Step 6: Final answer
    x = 129,004.74

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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.