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Finding the Fourth Proportional to 229,570.46, 316,805.54 and 128,968.46

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Solution

The fourth proportional to 229,570.46, 316,805.54 and 128,968.46 is: 177,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,570.46 : 316,805.54 = 128,968.46 : x
  2. Step 2: Convert to fraction form
    229,570.46/316,805.54 = 128,968.46/x
  3. Step 3: Cross multiply
    229,570.46x = 316,805.54 × 128,968.46
  4. Step 4: Simplify right side
    229,570.46x = 40,857,922,613.27
  5. Step 5: Solve for x
    x = 40,857,922,613.27/229,570.46
  6. Step 6: Final answer
    x = 177,975.52

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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.