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Finding the Fourth Proportional to 228,041.28, 314,694.72 and 127,439.28

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Solution

The fourth proportional to 228,041.28, 314,694.72 and 127,439.28 is: 175,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,041.28 : 314,694.72 = 127,439.28 : x
  2. Step 2: Convert to fraction form
    228,041.28/314,694.72 = 127,439.28/x
  3. Step 3: Cross multiply
    228,041.28x = 314,694.72 × 127,439.28
  4. Step 4: Simplify right side
    228,041.28x = 40,104,468,536.60
  5. Step 5: Solve for x
    x = 40,104,468,536.60/228,041.28
  6. Step 6: Final answer
    x = 175,864.95

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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.