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Finding the Fourth Proportional to 408,277.94, 612,482.61 and 142,114.10

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Solution

The fourth proportional to 408,277.94, 612,482.61 and 142,114.10 is: 213,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,277.94 : 612,482.61 = 142,114.10 : x
  2. Step 2: Convert to fraction form
    408,277.94/612,482.61 = 142,114.10/x
  3. Step 3: Cross multiply
    408,277.94x = 612,482.61 × 142,114.10
  4. Step 4: Simplify right side
    408,277.94x = 87,042,414,885.80
  5. Step 5: Solve for x
    x = 87,042,414,885.80/408,277.94
  6. Step 6: Final answer
    x = 213,194.02

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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.