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Finding the Fourth Proportional to 414,170.39, 621,263.36 and 129,854.64

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Solution

The fourth proportional to 414,170.39, 621,263.36 and 129,854.64 is: 194,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,170.39 : 621,263.36 = 129,854.64 : x
  2. Step 2: Convert to fraction form
    414,170.39/621,263.36 = 129,854.64/x
  3. Step 3: Cross multiply
    414,170.39x = 621,263.36 × 129,854.64
  4. Step 4: Simplify right side
    414,170.39x = 80,673,929,957.99
  5. Step 5: Solve for x
    x = 80,673,929,957.99/414,170.39
  6. Step 6: Final answer
    x = 194,784.40

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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.