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Finding the Fourth Proportional to 219,157.28, 328,768.78 and 76,977.49

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Solution

The fourth proportional to 219,157.28, 328,768.78 and 76,977.49 is: 115,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,157.28 : 328,768.78 = 76,977.49 : x
  2. Step 2: Convert to fraction form
    219,157.28/328,768.78 = 76,977.49/x
  3. Step 3: Cross multiply
    219,157.28x = 328,768.78 × 76,977.49
  4. Step 4: Simplify right side
    219,157.28x = 25,307,793,830.92
  5. Step 5: Solve for x
    x = 25,307,793,830.92/219,157.28
  6. Step 6: Final answer
    x = 115,477.77

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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.