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Finding the Fourth Proportional to 490,303.90, 735,749.61 and 209,821.42

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Solution

The fourth proportional to 490,303.90, 735,749.61 and 209,821.42 is: 314,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,303.90 : 735,749.61 = 209,821.42 : x
  2. Step 2: Convert to fraction form
    490,303.90/735,749.61 = 209,821.42/x
  3. Step 3: Cross multiply
    490,303.90x = 735,749.61 × 209,821.42
  4. Step 4: Simplify right side
    490,303.90x = 154,376,027,934.65
  5. Step 5: Solve for x
    x = 154,376,027,934.65/490,303.90
  6. Step 6: Final answer
    x = 314,857.84

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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.