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Finding the Fourth Proportional to 490,424.92, 735,646.64 and 135,448.39

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Solution

The fourth proportional to 490,424.92, 735,646.64 and 135,448.39 is: 203,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,424.92 : 735,646.64 = 135,448.39 : x
  2. Step 2: Convert to fraction form
    490,424.92/735,646.64 = 135,448.39/x
  3. Step 3: Cross multiply
    490,424.92x = 735,646.64 × 135,448.39
  4. Step 4: Simplify right side
    490,424.92x = 99,642,152,996.91
  5. Step 5: Solve for x
    x = 99,642,152,996.91/490,424.92
  6. Step 6: Final answer
    x = 203,175.14

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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.