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Finding the Fourth Proportional to 490,499.98, 735,742.67 and 135,506.14

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Solution

The fourth proportional to 490,499.98, 735,742.67 and 135,506.14 is: 203,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,499.98 : 735,742.67 = 135,506.14 : x
  2. Step 2: Convert to fraction form
    490,499.98/735,742.67 = 135,506.14/x
  3. Step 3: Cross multiply
    490,499.98x = 735,742.67 × 135,506.14
  4. Step 4: Simplify right side
    490,499.98x = 99,697,646,728.11
  5. Step 5: Solve for x
    x = 99,697,646,728.11/490,499.98
  6. Step 6: Final answer
    x = 203,257.19

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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.