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Finding the Fourth Proportional to 385,709.09, 578,182.28 and 182,949.59

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Solution

The fourth proportional to 385,709.09, 578,182.28 and 182,949.59 is: 274,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,709.09 : 578,182.28 = 182,949.59 : x
  2. Step 2: Convert to fraction form
    385,709.09/578,182.28 = 182,949.59/x
  3. Step 3: Cross multiply
    385,709.09x = 578,182.28 × 182,949.59
  4. Step 4: Simplify right side
    385,709.09x = 105,778,211,601.97
  5. Step 5: Solve for x
    x = 105,778,211,601.97/385,709.09
  6. Step 6: Final answer
    x = 274,243.51

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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.