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Finding the Fourth Proportional to 300,716, 414,988.08 and 166,580

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Solution

The fourth proportional to 300,716, 414,988.08 and 166,580 is: 229,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716 : 414,988.08 = 166,580 : x
  2. Step 2: Convert to fraction form
    300,716/414,988.08 = 166,580/x
  3. Step 3: Cross multiply
    300,716x = 414,988.08 × 166,580
  4. Step 4: Simplify right side
    300,716x = 69,128,714,366.40
  5. Step 5: Solve for x
    x = 69,128,714,366.40/300,716
  6. Step 6: Final answer
    x = 229,880.40

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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.