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Finding the Fourth Proportional to 385,435.60, 577,692.60 and 198,350.80

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Solution

The fourth proportional to 385,435.60, 577,692.60 and 198,350.80 is: 297,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,435.60 : 577,692.60 = 198,350.80 : x
  2. Step 2: Convert to fraction form
    385,435.60/577,692.60 = 198,350.80/x
  3. Step 3: Cross multiply
    385,435.60x = 577,692.60 × 198,350.80
  4. Step 4: Simplify right side
    385,435.60x = 114,585,789,364.08
  5. Step 5: Solve for x
    x = 114,585,789,364.08/385,435.60
  6. Step 6: Final answer
    x = 297,289.07

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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.