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Finding the Fourth Proportional to 358,900.96, 538,435.16 and 118,997.31

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Solution

The fourth proportional to 358,900.96, 538,435.16 and 118,997.31 is: 178,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,900.96 : 538,435.16 = 118,997.31 : x
  2. Step 2: Convert to fraction form
    358,900.96/538,435.16 = 118,997.31/x
  3. Step 3: Cross multiply
    358,900.96x = 538,435.16 × 118,997.31
  4. Step 4: Simplify right side
    358,900.96x = 64,072,335,670.78
  5. Step 5: Solve for x
    x = 64,072,335,670.78/358,900.96
  6. Step 6: Final answer
    x = 178,523.72

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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.