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Finding the Fourth Proportional to 282,515.79, 389,699.07 and 167,716.50

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Solution

The fourth proportional to 282,515.79, 389,699.07 and 167,716.50 is: 231,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,515.79 : 389,699.07 = 167,716.50 : x
  2. Step 2: Convert to fraction form
    282,515.79/389,699.07 = 167,716.50/x
  3. Step 3: Cross multiply
    282,515.79x = 389,699.07 × 167,716.50
  4. Step 4: Simplify right side
    282,515.79x = 65,358,964,073.66
  5. Step 5: Solve for x
    x = 65,358,964,073.66/282,515.79
  6. Step 6: Final answer
    x = 231,346.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.