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Finding the Fourth Proportional to 536,438.40, 804,145.60 and 199,388.80

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Solution

The fourth proportional to 536,438.40, 804,145.60 and 199,388.80 is: 298,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,438.40 : 804,145.60 = 199,388.80 : x
  2. Step 2: Convert to fraction form
    536,438.40/804,145.60 = 199,388.80/x
  3. Step 3: Cross multiply
    536,438.40x = 804,145.60 × 199,388.80
  4. Step 4: Simplify right side
    536,438.40x = 160,337,626,209.28
  5. Step 5: Solve for x
    x = 160,337,626,209.28/536,438.40
  6. Step 6: Final answer
    x = 298,892.89

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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.