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Finding the Fourth Proportional to 389,633.40, 584,469.30 and 203,009.40

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Solution

The fourth proportional to 389,633.40, 584,469.30 and 203,009.40 is: 304,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,633.40 : 584,469.30 = 203,009.40 : x
  2. Step 2: Convert to fraction form
    389,633.40/584,469.30 = 203,009.40/x
  3. Step 3: Cross multiply
    389,633.40x = 584,469.30 × 203,009.40
  4. Step 4: Simplify right side
    389,633.40x = 118,652,761,911.42
  5. Step 5: Solve for x
    x = 118,652,761,911.42/389,633.40
  6. Step 6: Final answer
    x = 304,524.10

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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.