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Finding the Fourth Proportional to 335,894.40, 503,161.20 and 209,145.60

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Solution

The fourth proportional to 335,894.40, 503,161.20 and 209,145.60 is: 313,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,894.40 : 503,161.20 = 209,145.60 : x
  2. Step 2: Convert to fraction form
    335,894.40/503,161.20 = 209,145.60/x
  3. Step 3: Cross multiply
    335,894.40x = 503,161.20 × 209,145.60
  4. Step 4: Simplify right side
    335,894.40x = 105,233,951,070.72
  5. Step 5: Solve for x
    x = 105,233,951,070.72/335,894.40
  6. Step 6: Final answer
    x = 313,294.75

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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.