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Finding the Fourth Proportional to 490,238.49, 735,400.10 and 135,252.50

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Solution

The fourth proportional to 490,238.49, 735,400.10 and 135,252.50 is: 202,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,238.49 : 735,400.10 = 135,252.50 : x
  2. Step 2: Convert to fraction form
    490,238.49/735,400.10 = 135,252.50/x
  3. Step 3: Cross multiply
    490,238.49x = 735,400.10 × 135,252.50
  4. Step 4: Simplify right side
    490,238.49x = 99,464,697,671.99
  5. Step 5: Solve for x
    x = 99,464,697,671.99/490,238.49
  6. Step 6: Final answer
    x = 202,890.43

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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.