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Finding the Fourth Proportional to 228,813.28, 315,746.40 and 126,837.76

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Solution

The fourth proportional to 228,813.28, 315,746.40 and 126,837.76 is: 175,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,813.28 : 315,746.40 = 126,837.76 : x
  2. Step 2: Convert to fraction form
    228,813.28/315,746.40 = 126,837.76/x
  3. Step 3: Cross multiply
    228,813.28x = 315,746.40 × 126,837.76
  4. Step 4: Simplify right side
    228,813.28x = 40,048,566,104.06
  5. Step 5: Solve for x
    x = 40,048,566,104.06/228,813.28
  6. Step 6: Final answer
    x = 175,027.28

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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.