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Finding the Fourth Proportional to 320,385.82, 480,578.76 and 120,751

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Solution

The fourth proportional to 320,385.82, 480,578.76 and 120,751 is: 181,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,385.82 : 480,578.76 = 120,751 : x
  2. Step 2: Convert to fraction form
    320,385.82/480,578.76 = 120,751/x
  3. Step 3: Cross multiply
    320,385.82x = 480,578.76 × 120,751
  4. Step 4: Simplify right side
    320,385.82x = 58,030,365,848.76
  5. Step 5: Solve for x
    x = 58,030,365,848.76/320,385.82
  6. Step 6: Final answer
    x = 181,126.51

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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.