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Finding the Fourth Proportional to 228,465.30, 315,282.06 and 127,863.30

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Solution

The fourth proportional to 228,465.30, 315,282.06 and 127,863.30 is: 176,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,465.30 : 315,282.06 = 127,863.30 : x
  2. Step 2: Convert to fraction form
    228,465.30/315,282.06 = 127,863.30/x
  3. Step 3: Cross multiply
    228,465.30x = 315,282.06 × 127,863.30
  4. Step 4: Simplify right side
    228,465.30x = 40,313,004,622.40
  5. Step 5: Solve for x
    x = 40,313,004,622.40/228,465.30
  6. Step 6: Final answer
    x = 176,451.32

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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.