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Finding the Fourth Proportional to 308,403.60, 462,313.80 and 182,140.80

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Solution

The fourth proportional to 308,403.60, 462,313.80 and 182,140.80 is: 273,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,403.60 : 462,313.80 = 182,140.80 : x
  2. Step 2: Convert to fraction form
    308,403.60/462,313.80 = 182,140.80/x
  3. Step 3: Cross multiply
    308,403.60x = 462,313.80 × 182,140.80
  4. Step 4: Simplify right side
    308,403.60x = 84,206,205,383.04
  5. Step 5: Solve for x
    x = 84,206,205,383.04/308,403.60
  6. Step 6: Final answer
    x = 273,038.98

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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.