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Finding the Fourth Proportional to 306,785.92, 459,791.16 and 138,126.64

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Solution

The fourth proportional to 306,785.92, 459,791.16 and 138,126.64 is: 207,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,785.92 : 459,791.16 = 138,126.64 : x
  2. Step 2: Convert to fraction form
    306,785.92/459,791.16 = 138,126.64/x
  3. Step 3: Cross multiply
    306,785.92x = 459,791.16 × 138,126.64
  4. Step 4: Simplify right side
    306,785.92x = 63,509,408,032.50
  5. Step 5: Solve for x
    x = 63,509,408,032.50/306,785.92
  6. Step 6: Final answer
    x = 207,015.39

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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.