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Finding the Fourth Proportional to 320,417.06, 480,658.44 and 120,905.33

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Solution

The fourth proportional to 320,417.06, 480,658.44 and 120,905.33 is: 181,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,417.06 : 480,658.44 = 120,905.33 : x
  2. Step 2: Convert to fraction form
    320,417.06/480,658.44 = 120,905.33/x
  3. Step 3: Cross multiply
    320,417.06x = 480,658.44 × 120,905.33
  4. Step 4: Simplify right side
    320,417.06x = 58,114,167,305.49
  5. Step 5: Solve for x
    x = 58,114,167,305.49/320,417.06
  6. Step 6: Final answer
    x = 181,370.39

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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.