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Finding the Fourth Proportional to 408,200.10, 612,300.15 and 186,584.10

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Solution

The fourth proportional to 408,200.10, 612,300.15 and 186,584.10 is: 279,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,200.10 : 612,300.15 = 186,584.10 : x
  2. Step 2: Convert to fraction form
    408,200.10/612,300.15 = 186,584.10/x
  3. Step 3: Cross multiply
    408,200.10x = 612,300.15 × 186,584.10
  4. Step 4: Simplify right side
    408,200.10x = 114,245,472,417.62
  5. Step 5: Solve for x
    x = 114,245,472,417.62/408,200.10
  6. Step 6: Final answer
    x = 279,876.15

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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.