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Finding the Fourth Proportional to 455,140.52, 682,703.76 and 202,354.64

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Solution

The fourth proportional to 455,140.52, 682,703.76 and 202,354.64 is: 303,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,140.52 : 682,703.76 = 202,354.64 : x
  2. Step 2: Convert to fraction form
    455,140.52/682,703.76 = 202,354.64/x
  3. Step 3: Cross multiply
    455,140.52x = 682,703.76 × 202,354.64
  4. Step 4: Simplify right side
    455,140.52x = 138,148,273,581.45
  5. Step 5: Solve for x
    x = 138,148,273,581.45/455,140.52
  6. Step 6: Final answer
    x = 303,528.84

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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.