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Finding the Fourth Proportional to 228,850, 315,813 and 128,280.40

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Solution

The fourth proportional to 228,850, 315,813 and 128,280.40 is: 177,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,850 : 315,813 = 128,280.40 : x
  2. Step 2: Convert to fraction form
    228,850/315,813 = 128,280.40/x
  3. Step 3: Cross multiply
    228,850x = 315,813 × 128,280.40
  4. Step 4: Simplify right side
    228,850x = 40,512,617,965.20
  5. Step 5: Solve for x
    x = 40,512,617,965.20/228,850
  6. Step 6: Final answer
    x = 177,026.95

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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.