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Finding the Fourth Proportional to 408,051.20, 612,076.80 and 186,867.20

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Solution

The fourth proportional to 408,051.20, 612,076.80 and 186,867.20 is: 280,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.20 : 612,076.80 = 186,867.20 : x
  2. Step 2: Convert to fraction form
    408,051.20/612,076.80 = 186,867.20/x
  3. Step 3: Cross multiply
    408,051.20x = 612,076.80 × 186,867.20
  4. Step 4: Simplify right side
    408,051.20x = 114,377,077,800.96
  5. Step 5: Solve for x
    x = 114,377,077,800.96/408,051.20
  6. Step 6: Final answer
    x = 280,300.80

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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.