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Finding the Fourth Proportional to 412,687.47, 619,206.18 and 225,480.27

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Solution

The fourth proportional to 412,687.47, 619,206.18 and 225,480.27 is: 338,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,687.47 : 619,206.18 = 225,480.27 : x
  2. Step 2: Convert to fraction form
    412,687.47/619,206.18 = 225,480.27/x
  3. Step 3: Cross multiply
    412,687.47x = 619,206.18 × 225,480.27
  4. Step 4: Simplify right side
    412,687.47x = 139,618,776,652.07
  5. Step 5: Solve for x
    x = 139,618,776,652.07/412,687.47
  6. Step 6: Final answer
    x = 338,316.01

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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.