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Finding the Fourth Proportional to 316,054.30, 436,195.92 and 180,137.11

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Solution

The fourth proportional to 316,054.30, 436,195.92 and 180,137.11 is: 248,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,054.30 : 436,195.92 = 180,137.11 : x
  2. Step 2: Convert to fraction form
    316,054.30/436,195.92 = 180,137.11/x
  3. Step 3: Cross multiply
    316,054.30x = 436,195.92 × 180,137.11
  4. Step 4: Simplify right side
    316,054.30x = 78,575,072,422.59
  5. Step 5: Solve for x
    x = 78,575,072,422.59/316,054.30
  6. Step 6: Final answer
    x = 248,612.57

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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.