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Finding the Fourth Proportional to 490,182.84, 735,298.38 and 135,189

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Solution

The fourth proportional to 490,182.84, 735,298.38 and 135,189 is: 202,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,182.84 : 735,298.38 = 135,189 : x
  2. Step 2: Convert to fraction form
    490,182.84/735,298.38 = 135,189/x
  3. Step 3: Cross multiply
    490,182.84x = 735,298.38 × 135,189
  4. Step 4: Simplify right side
    490,182.84x = 99,404,252,693.82
  5. Step 5: Solve for x
    x = 99,404,252,693.82/490,182.84
  6. Step 6: Final answer
    x = 202,790.15

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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.