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Finding the Fourth Proportional to 316,004.59, 436,086.25 and 172,764.60

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Solution

The fourth proportional to 316,004.59, 436,086.25 and 172,764.60 is: 238,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,004.59 : 436,086.25 = 172,764.60 : x
  2. Step 2: Convert to fraction form
    316,004.59/436,086.25 = 172,764.60/x
  3. Step 3: Cross multiply
    316,004.59x = 436,086.25 × 172,764.60
  4. Step 4: Simplify right side
    316,004.59x = 75,340,266,546.75
  5. Step 5: Solve for x
    x = 75,340,266,546.75/316,004.59
  6. Step 6: Final answer
    x = 238,415.10

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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.