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Finding the Fourth Proportional to 348,425.60, 522,811.20 and 198,780.80

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Solution

The fourth proportional to 348,425.60, 522,811.20 and 198,780.80 is: 298,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,425.60 : 522,811.20 = 198,780.80 : x
  2. Step 2: Convert to fraction form
    348,425.60/522,811.20 = 198,780.80/x
  3. Step 3: Cross multiply
    348,425.60x = 522,811.20 × 198,780.80
  4. Step 4: Simplify right side
    348,425.60x = 103,924,828,584.96
  5. Step 5: Solve for x
    x = 103,924,828,584.96/348,425.60
  6. Step 6: Final answer
    x = 298,269.78

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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.