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Finding the Fourth Proportional to 414,167.89, 621,259.62 and 129,852.14

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Solution

The fourth proportional to 414,167.89, 621,259.62 and 129,852.14 is: 194,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,167.89 : 621,259.62 = 129,852.14 : x
  2. Step 2: Convert to fraction form
    414,167.89/621,259.62 = 129,852.14/x
  3. Step 3: Cross multiply
    414,167.89x = 621,259.62 × 129,852.14
  4. Step 4: Simplify right side
    414,167.89x = 80,671,890,503.33
  5. Step 5: Solve for x
    x = 80,671,890,503.33/414,167.89
  6. Step 6: Final answer
    x = 194,780.65

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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.