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Finding the Fourth Proportional to 455,090.40, 682,082.10 and 322,009.02

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Solution

The fourth proportional to 455,090.40, 682,082.10 and 322,009.02 is: 482,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,090.40 : 682,082.10 = 322,009.02 : x
  2. Step 2: Convert to fraction form
    455,090.40/682,082.10 = 322,009.02/x
  3. Step 3: Cross multiply
    455,090.40x = 682,082.10 × 322,009.02
  4. Step 4: Simplify right side
    455,090.40x = 219,636,588,580.54
  5. Step 5: Solve for x
    x = 219,636,588,580.54/455,090.40
  6. Step 6: Final answer
    x = 482,621.89

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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.