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Finding the Fourth Proportional to 229,274.56, 316,428 and 128,672.48

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Solution

The fourth proportional to 229,274.56, 316,428 and 128,672.48 is: 177,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,274.56 : 316,428 = 128,672.48 : x
  2. Step 2: Convert to fraction form
    229,274.56/316,428 = 128,672.48/x
  3. Step 3: Cross multiply
    229,274.56x = 316,428 × 128,672.48
  4. Step 4: Simplify right side
    229,274.56x = 40,715,575,501.44
  5. Step 5: Solve for x
    x = 40,715,575,501.44/229,274.56
  6. Step 6: Final answer
    x = 177,584.36

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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.