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Finding the Fourth Proportional to 228,600, 315,468 and 128,000.16

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Solution

The fourth proportional to 228,600, 315,468 and 128,000.16 is: 176,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,600 : 315,468 = 128,000.16 : x
  2. Step 2: Convert to fraction form
    228,600/315,468 = 128,000.16/x
  3. Step 3: Cross multiply
    228,600x = 315,468 × 128,000.16
  4. Step 4: Simplify right side
    228,600x = 40,379,954,474.88
  5. Step 5: Solve for x
    x = 40,379,954,474.88/228,600
  6. Step 6: Final answer
    x = 176,640.22

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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.