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Finding the Fourth Proportional to 414,426.80, 621,640.20 and 134,145.20

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Solution

The fourth proportional to 414,426.80, 621,640.20 and 134,145.20 is: 201,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,426.80 : 621,640.20 = 134,145.20 : x
  2. Step 2: Convert to fraction form
    414,426.80/621,640.20 = 134,145.20/x
  3. Step 3: Cross multiply
    414,426.80x = 621,640.20 × 134,145.20
  4. Step 4: Simplify right side
    414,426.80x = 83,390,048,957.04
  5. Step 5: Solve for x
    x = 83,390,048,957.04/414,426.80
  6. Step 6: Final answer
    x = 201,217.80

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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.