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Finding the Fourth Proportional to 292,489.38, 438,734.19 and 105,500.88

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Solution

The fourth proportional to 292,489.38, 438,734.19 and 105,500.88 is: 158,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,489.38 : 438,734.19 = 105,500.88 : x
  2. Step 2: Convert to fraction form
    292,489.38/438,734.19 = 105,500.88/x
  3. Step 3: Cross multiply
    292,489.38x = 438,734.19 × 105,500.88
  4. Step 4: Simplify right side
    292,489.38x = 46,286,843,131.09
  5. Step 5: Solve for x
    x = 46,286,843,131.09/292,489.38
  6. Step 6: Final answer
    x = 158,251.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.