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Finding the Fourth Proportional to 228,285.94, 315,017.49 and 127,664.50

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Solution

The fourth proportional to 228,285.94, 315,017.49 and 127,664.50 is: 176,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,285.94 : 315,017.49 = 127,664.50 : x
  2. Step 2: Convert to fraction form
    228,285.94/315,017.49 = 127,664.50/x
  3. Step 3: Cross multiply
    228,285.94x = 315,017.49 × 127,664.50
  4. Step 4: Simplify right side
    228,285.94x = 40,216,550,352.11
  5. Step 5: Solve for x
    x = 40,216,550,352.11/228,285.94
  6. Step 6: Final answer
    x = 176,167.44

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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.