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Finding the Fourth Proportional to 580,239.38, 870,357.72 and 327,405.08

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Solution

The fourth proportional to 580,239.38, 870,357.72 and 327,405.08 is: 491,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,239.38 : 870,357.72 = 327,405.08 : x
  2. Step 2: Convert to fraction form
    580,239.38/870,357.72 = 327,405.08/x
  3. Step 3: Cross multiply
    580,239.38x = 870,357.72 × 327,405.08
  4. Step 4: Simplify right side
    580,239.38x = 284,959,538,945.22
  5. Step 5: Solve for x
    x = 284,959,538,945.22/580,239.38
  6. Step 6: Final answer
    x = 491,106.86

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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.