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Finding the Fourth Proportional to 326,135.82, 450,088.72 and 188,320.57

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Solution

The fourth proportional to 326,135.82, 450,088.72 and 188,320.57 is: 259,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,135.82 : 450,088.72 = 188,320.57 : x
  2. Step 2: Convert to fraction form
    326,135.82/450,088.72 = 188,320.57/x
  3. Step 3: Cross multiply
    326,135.82x = 450,088.72 × 188,320.57
  4. Step 4: Simplify right side
    326,135.82x = 84,760,962,050.53
  5. Step 5: Solve for x
    x = 84,760,962,050.53/326,135.82
  6. Step 6: Final answer
    x = 259,894.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.