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Finding the Fourth Proportional to 312,779.01, 431,635.77 and 169,538.41

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Solution

The fourth proportional to 312,779.01, 431,635.77 and 169,538.41 is: 233,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,779.01 : 431,635.77 = 169,538.41 : x
  2. Step 2: Convert to fraction form
    312,779.01/431,635.77 = 169,538.41/x
  3. Step 3: Cross multiply
    312,779.01x = 431,635.77 × 169,538.41
  4. Step 4: Simplify right side
    312,779.01x = 73,178,842,144.93
  5. Step 5: Solve for x
    x = 73,178,842,144.93/312,779.01
  6. Step 6: Final answer
    x = 233,963.40

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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.