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Finding the Fourth Proportional to 229,315.44, 316,437.96 and 128,694

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Solution

The fourth proportional to 229,315.44, 316,437.96 and 128,694 is: 177,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,315.44 : 316,437.96 = 128,694 : x
  2. Step 2: Convert to fraction form
    229,315.44/316,437.96 = 128,694/x
  3. Step 3: Cross multiply
    229,315.44x = 316,437.96 × 128,694
  4. Step 4: Simplify right side
    229,315.44x = 40,723,666,824.24
  5. Step 5: Solve for x
    x = 40,723,666,824.24/229,315.44
  6. Step 6: Final answer
    x = 177,587.98

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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.