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Finding the Fourth Proportional to 455,798.30, 682,713.30 and 396,749.30

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Solution

The fourth proportional to 455,798.30, 682,713.30 and 396,749.30 is: 594,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,798.30 : 682,713.30 = 396,749.30 : x
  2. Step 2: Convert to fraction form
    455,798.30/682,713.30 = 396,749.30/x
  3. Step 3: Cross multiply
    455,798.30x = 682,713.30 × 396,749.30
  4. Step 4: Simplify right side
    455,798.30x = 270,866,023,875.69
  5. Step 5: Solve for x
    x = 270,866,023,875.69/455,798.30
  6. Step 6: Final answer
    x = 594,267.30

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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.