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Finding the Fourth Proportional to 385,383.80, 577,200.90 and 198,176.60

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Solution

The fourth proportional to 385,383.80, 577,200.90 and 198,176.60 is: 296,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,383.80 : 577,200.90 = 198,176.60 : x
  2. Step 2: Convert to fraction form
    385,383.80/577,200.90 = 198,176.60/x
  3. Step 3: Cross multiply
    385,383.80x = 577,200.90 × 198,176.60
  4. Step 4: Simplify right side
    385,383.80x = 114,387,711,878.94
  5. Step 5: Solve for x
    x = 114,387,711,878.94/385,383.80
  6. Step 6: Final answer
    x = 296,815.05

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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.