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Finding the Fourth Proportional to 320,949.81, 480,660.57 and 185,728.82

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Solution

The fourth proportional to 320,949.81, 480,660.57 and 185,728.82 is: 278,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,949.81 : 480,660.57 = 185,728.82 : x
  2. Step 2: Convert to fraction form
    320,949.81/480,660.57 = 185,728.82/x
  3. Step 3: Cross multiply
    320,949.81x = 480,660.57 × 185,728.82
  4. Step 4: Simplify right side
    320,949.81x = 89,272,518,083.32
  5. Step 5: Solve for x
    x = 89,272,518,083.32/320,949.81
  6. Step 6: Final answer
    x = 278,151.02

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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.