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Finding the Fourth Proportional to 646,279.71, 969,412.76 and 166,505.57

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Solution

The fourth proportional to 646,279.71, 969,412.76 and 166,505.57 is: 249,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,279.71 : 969,412.76 = 166,505.57 : x
  2. Step 2: Convert to fraction form
    646,279.71/969,412.76 = 166,505.57/x
  3. Step 3: Cross multiply
    646,279.71x = 969,412.76 × 166,505.57
  4. Step 4: Simplify right side
    646,279.71x = 161,412,628,202.12
  5. Step 5: Solve for x
    x = 161,412,628,202.12/646,279.71
  6. Step 6: Final answer
    x = 249,756.61

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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.