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Finding the Fourth Proportional to 490,590.72, 735,270.48 and 209,777.76

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Solution

The fourth proportional to 490,590.72, 735,270.48 and 209,777.76 is: 314,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,590.72 : 735,270.48 = 209,777.76 : x
  2. Step 2: Convert to fraction form
    490,590.72/735,270.48 = 209,777.76/x
  3. Step 3: Cross multiply
    490,590.72x = 735,270.48 × 209,777.76
  4. Step 4: Simplify right side
    490,590.72x = 154,243,394,288.53
  5. Step 5: Solve for x
    x = 154,243,394,288.53/490,590.72
  6. Step 6: Final answer
    x = 314,403.41

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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.