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Finding the Fourth Proportional to 613,514.82, 920,692.62 and 214,155.63

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Solution

The fourth proportional to 613,514.82, 920,692.62 and 214,155.63 is: 321,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,514.82 : 920,692.62 = 214,155.63 : x
  2. Step 2: Convert to fraction form
    613,514.82/920,692.62 = 214,155.63/x
  3. Step 3: Cross multiply
    613,514.82x = 920,692.62 × 214,155.63
  4. Step 4: Simplify right side
    613,514.82x = 197,171,508,072.45
  5. Step 5: Solve for x
    x = 197,171,508,072.45/613,514.82
  6. Step 6: Final answer
    x = 321,380.19

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1.5x scale

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.