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Finding the Fourth Proportional to 414,013.71, 621,019.79 and 129,726.03

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Solution

The fourth proportional to 414,013.71, 621,019.79 and 129,726.03 is: 194,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,013.71 : 621,019.79 = 129,726.03 : x
  2. Step 2: Convert to fraction form
    414,013.71/621,019.79 = 129,726.03/x
  3. Step 3: Cross multiply
    414,013.71x = 621,019.79 × 129,726.03
  4. Step 4: Simplify right side
    414,013.71x = 80,562,430,533.30
  5. Step 5: Solve for x
    x = 80,562,430,533.30/414,013.71
  6. Step 6: Final answer
    x = 194,588.80

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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.