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Finding the Fourth Proportional to 228,976.78, 316,007.42 and 127,035.08

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Solution

The fourth proportional to 228,976.78, 316,007.42 and 127,035.08 is: 175,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,976.78 : 316,007.42 = 127,035.08 : x
  2. Step 2: Convert to fraction form
    228,976.78/316,007.42 = 127,035.08/x
  3. Step 3: Cross multiply
    228,976.78x = 316,007.42 × 127,035.08
  4. Step 4: Simplify right side
    228,976.78x = 40,144,027,880.29
  5. Step 5: Solve for x
    x = 40,144,027,880.29/228,976.78
  6. Step 6: Final answer
    x = 175,319.21

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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.