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Finding the Fourth Proportional to 455,128, 682,480.82 and 265,642.90

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Solution

The fourth proportional to 455,128, 682,480.82 and 265,642.90 is: 398,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,128 : 682,480.82 = 265,642.90 : x
  2. Step 2: Convert to fraction form
    455,128/682,480.82 = 265,642.90/x
  3. Step 3: Cross multiply
    455,128x = 682,480.82 × 265,642.90
  4. Step 4: Simplify right side
    455,128x = 181,296,184,219.18
  5. Step 5: Solve for x
    x = 181,296,184,219.18/455,128
  6. Step 6: Final answer
    x = 398,341.09

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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.