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Finding the Fourth Proportional to 408,525.60, 612,097.20 and 197,709.60

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Solution

The fourth proportional to 408,525.60, 612,097.20 and 197,709.60 is: 296,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,525.60 : 612,097.20 = 197,709.60 : x
  2. Step 2: Convert to fraction form
    408,525.60/612,097.20 = 197,709.60/x
  3. Step 3: Cross multiply
    408,525.60x = 612,097.20 × 197,709.60
  4. Step 4: Simplify right side
    408,525.60x = 121,017,492,573.12
  5. Step 5: Solve for x
    x = 121,017,492,573.12/408,525.60
  6. Step 6: Final answer
    x = 296,229.89

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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.