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Finding the Fourth Proportional to 319,546.68, 477,448.16 and 308,371.44

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Solution

The fourth proportional to 319,546.68, 477,448.16 and 308,371.44 is: 460,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,546.68 : 477,448.16 = 308,371.44 : x
  2. Step 2: Convert to fraction form
    319,546.68/477,448.16 = 308,371.44/x
  3. Step 3: Cross multiply
    319,546.68x = 477,448.16 × 308,371.44
  4. Step 4: Simplify right side
    319,546.68x = 147,231,376,624.55
  5. Step 5: Solve for x
    x = 147,231,376,624.55/319,546.68
  6. Step 6: Final answer
    x = 460,750.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.