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Finding the Fourth Proportional to 490,633.09, 735,949.04 and 153,699.98

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Solution

The fourth proportional to 490,633.09, 735,949.04 and 153,699.98 is: 230,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,633.09 : 735,949.04 = 153,699.98 : x
  2. Step 2: Convert to fraction form
    490,633.09/735,949.04 = 153,699.98/x
  3. Step 3: Cross multiply
    490,633.09x = 735,949.04 × 153,699.98
  4. Step 4: Simplify right side
    490,633.09x = 113,115,352,729.02
  5. Step 5: Solve for x
    x = 113,115,352,729.02/490,633.09
  6. Step 6: Final answer
    x = 230,549.79

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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.