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Finding the Fourth Proportional to 408,114.60, 612,235.26 and 208,326.90

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Solution

The fourth proportional to 408,114.60, 612,235.26 and 208,326.90 is: 312,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,114.60 : 612,235.26 = 208,326.90 : x
  2. Step 2: Convert to fraction form
    408,114.60/612,235.26 = 208,326.90/x
  3. Step 3: Cross multiply
    408,114.60x = 612,235.26 × 208,326.90
  4. Step 4: Simplify right side
    408,114.60x = 127,545,073,786.49
  5. Step 5: Solve for x
    x = 127,545,073,786.49/408,114.60
  6. Step 6: Final answer
    x = 312,522.69

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1.5x scale

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.