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Finding the Fourth Proportional to 300,528, 414,728.64 and 166,400.64

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Solution

The fourth proportional to 300,528, 414,728.64 and 166,400.64 is: 229,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,528 : 414,728.64 = 166,400.64 : x
  2. Step 2: Convert to fraction form
    300,528/414,728.64 = 166,400.64/x
  3. Step 3: Cross multiply
    300,528x = 414,728.64 × 166,400.64
  4. Step 4: Simplify right side
    300,528x = 69,011,111,122.33
  5. Step 5: Solve for x
    x = 69,011,111,122.33/300,528
  6. Step 6: Final answer
    x = 229,632.88

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1.5x scale

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.