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Finding the Fourth Proportional to 228,384.78, 315,162.95 and 126,410.44

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Solution

The fourth proportional to 228,384.78, 315,162.95 and 126,410.44 is: 174,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,384.78 : 315,162.95 = 126,410.44 : x
  2. Step 2: Convert to fraction form
    228,384.78/315,162.95 = 126,410.44/x
  3. Step 3: Cross multiply
    228,384.78x = 315,162.95 × 126,410.44
  4. Step 4: Simplify right side
    228,384.78x = 39,839,885,605.38
  5. Step 5: Solve for x
    x = 39,839,885,605.38/228,384.78
  6. Step 6: Final answer
    x = 174,441.95

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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.