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Finding the Fourth Proportional to 580,042, 800,448.13 and 325,387.72

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Solution

The fourth proportional to 580,042, 800,448.13 and 325,387.72 is: 449,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,042 : 800,448.13 = 325,387.72 : x
  2. Step 2: Convert to fraction form
    580,042/800,448.13 = 325,387.72/x
  3. Step 3: Cross multiply
    580,042x = 800,448.13 × 325,387.72
  4. Step 4: Simplify right side
    580,042x = 260,455,991,998.96
  5. Step 5: Solve for x
    x = 260,455,991,998.96/580,042
  6. Step 6: Final answer
    x = 449,029.54

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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.