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Finding the Fourth Proportional to 315,991.88, 436,051.14 and 172,723.40

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Solution

The fourth proportional to 315,991.88, 436,051.14 and 172,723.40 is: 238,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,991.88 : 436,051.14 = 172,723.40 : x
  2. Step 2: Convert to fraction form
    315,991.88/436,051.14 = 172,723.40/x
  3. Step 3: Cross multiply
    315,991.88x = 436,051.14 × 172,723.40
  4. Step 4: Simplify right side
    315,991.88x = 75,316,235,474.68
  5. Step 5: Solve for x
    x = 75,316,235,474.68/315,991.88
  6. Step 6: Final answer
    x = 238,348.64

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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.