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Finding the Fourth Proportional to 383,813.40, 574,985.70 and 206,261.40

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Solution

The fourth proportional to 383,813.40, 574,985.70 and 206,261.40 is: 308,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,813.40 : 574,985.70 = 206,261.40 : x
  2. Step 2: Convert to fraction form
    383,813.40/574,985.70 = 206,261.40/x
  3. Step 3: Cross multiply
    383,813.40x = 574,985.70 × 206,261.40
  4. Step 4: Simplify right side
    383,813.40x = 118,597,355,461.98
  5. Step 5: Solve for x
    x = 118,597,355,461.98/383,813.40
  6. Step 6: Final answer
    x = 308,997.43

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1.5x scale

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.