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Finding the Fourth Proportional to 328,138.74, 492,235.91 and 91,481.64

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Solution

The fourth proportional to 328,138.74, 492,235.91 and 91,481.64 is: 137,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,138.74 : 492,235.91 = 91,481.64 : x
  2. Step 2: Convert to fraction form
    328,138.74/492,235.91 = 91,481.64/x
  3. Step 3: Cross multiply
    328,138.74x = 492,235.91 × 91,481.64
  4. Step 4: Simplify right side
    328,138.74x = 45,030,547,856.28
  5. Step 5: Solve for x
    x = 45,030,547,856.28/328,138.74
  6. Step 6: Final answer
    x = 137,230.21

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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.