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Finding the Fourth Proportional to 490,424.67, 735,646.27 and 135,448.14

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Solution

The fourth proportional to 490,424.67, 735,646.27 and 135,448.14 is: 203,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,424.67 : 735,646.27 = 135,448.14 : x
  2. Step 2: Convert to fraction form
    490,424.67/735,646.27 = 135,448.14/x
  3. Step 3: Cross multiply
    490,424.67x = 735,646.27 × 135,448.14
  4. Step 4: Simplify right side
    490,424.67x = 99,641,918,630.82
  5. Step 5: Solve for x
    x = 99,641,918,630.82/490,424.67
  6. Step 6: Final answer
    x = 203,174.77

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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.