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Finding the Fourth Proportional to 391,197.60, 585,921.60 and 302,162.40

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Solution

The fourth proportional to 391,197.60, 585,921.60 and 302,162.40 is: 452,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,197.60 : 585,921.60 = 302,162.40 : x
  2. Step 2: Convert to fraction form
    391,197.60/585,921.60 = 302,162.40/x
  3. Step 3: Cross multiply
    391,197.60x = 585,921.60 × 302,162.40
  4. Step 4: Simplify right side
    391,197.60x = 177,043,476,867.84
  5. Step 5: Solve for x
    x = 177,043,476,867.84/391,197.60
  6. Step 6: Final answer
    x = 452,567.90

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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.