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Finding the Fourth Proportional to 229,412.30, 316,639.56 and 127,472.78

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Solution

The fourth proportional to 229,412.30, 316,639.56 and 127,472.78 is: 175,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,412.30 : 316,639.56 = 127,472.78 : x
  2. Step 2: Convert to fraction form
    229,412.30/316,639.56 = 127,472.78/x
  3. Step 3: Cross multiply
    229,412.30x = 316,639.56 × 127,472.78
  4. Step 4: Simplify right side
    229,412.30x = 40,362,924,971.18
  5. Step 5: Solve for x
    x = 40,362,924,971.18/229,412.30
  6. Step 6: Final answer
    x = 175,940.54

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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.