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Finding the Fourth Proportional to 308,742.75, 426,065.00 and 167,430.75

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Solution

The fourth proportional to 308,742.75, 426,065.00 and 167,430.75 is: 231,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,742.75 : 426,065.00 = 167,430.75 : x
  2. Step 2: Convert to fraction form
    308,742.75/426,065.00 = 167,430.75/x
  3. Step 3: Cross multiply
    308,742.75x = 426,065.00 × 167,430.75
  4. Step 4: Simplify right side
    308,742.75x = 71,336,381,661.60
  5. Step 5: Solve for x
    x = 71,336,381,661.60/308,742.75
  6. Step 6: Final answer
    x = 231,054.44

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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.