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Finding the Fourth Proportional to 408,451.88, 612,678.09 and 127,991

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Solution

The fourth proportional to 408,451.88, 612,678.09 and 127,991 is: 191,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,451.88 : 612,678.09 = 127,991 : x
  2. Step 2: Convert to fraction form
    408,451.88/612,678.09 = 127,991/x
  3. Step 3: Cross multiply
    408,451.88x = 612,678.09 × 127,991
  4. Step 4: Simplify right side
    408,451.88x = 78,417,281,417.19
  5. Step 5: Solve for x
    x = 78,417,281,417.19/408,451.88
  6. Step 6: Final answer
    x = 191,986.58

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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.