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Finding the Fourth Proportional to 414,521.40, 622,242.90 and 256,927.80

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Solution

The fourth proportional to 414,521.40, 622,242.90 and 256,927.80 is: 385,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,521.40 : 622,242.90 = 256,927.80 : x
  2. Step 2: Convert to fraction form
    414,521.40/622,242.90 = 256,927.80/x
  3. Step 3: Cross multiply
    414,521.40x = 622,242.90 × 256,927.80
  4. Step 4: Simplify right side
    414,521.40x = 159,871,499,362.62
  5. Step 5: Solve for x
    x = 159,871,499,362.62/414,521.40
  6. Step 6: Final answer
    x = 385,677.31

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1.5x scale

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.