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Finding the Fourth Proportional to 490,265.73, 735,209.06 and 190,705.86

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Solution

The fourth proportional to 490,265.73, 735,209.06 and 190,705.86 is: 285,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,265.73 : 735,209.06 = 190,705.86 : x
  2. Step 2: Convert to fraction form
    490,265.73/735,209.06 = 190,705.86/x
  3. Step 3: Cross multiply
    490,265.73x = 735,209.06 × 190,705.86
  4. Step 4: Simplify right side
    490,265.73x = 140,208,675,113.56
  5. Step 5: Solve for x
    x = 140,208,675,113.56/490,265.73
  6. Step 6: Final answer
    x = 285,985.06

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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.