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Finding the Fourth Proportional to 238,137.32, 328,578.18 and 137,477

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Solution

The fourth proportional to 238,137.32, 328,578.18 and 137,477 is: 189,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,137.32 : 328,578.18 = 137,477 : x
  2. Step 2: Convert to fraction form
    238,137.32/328,578.18 = 137,477/x
  3. Step 3: Cross multiply
    238,137.32x = 328,578.18 × 137,477
  4. Step 4: Simplify right side
    238,137.32x = 45,171,942,451.86
  5. Step 5: Solve for x
    x = 45,171,942,451.86/238,137.32
  6. Step 6: Final answer
    x = 189,688.63

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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.