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Finding the Fourth Proportional to 316,179.59, 436,316.78 and 180,257.31

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Solution

The fourth proportional to 316,179.59, 436,316.78 and 180,257.31 is: 248,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,179.59 : 436,316.78 = 180,257.31 : x
  2. Step 2: Convert to fraction form
    316,179.59/436,316.78 = 180,257.31/x
  3. Step 3: Cross multiply
    316,179.59x = 436,316.78 × 180,257.31
  4. Step 4: Simplify right side
    316,179.59x = 78,649,289,521.31
  5. Step 5: Solve for x
    x = 78,649,289,521.31/316,179.59
  6. Step 6: Final answer
    x = 248,748.79

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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.