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Finding the Fourth Proportional to 580,072.08, 800,458.56 and 321,962.16

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Solution

The fourth proportional to 580,072.08, 800,458.56 and 321,962.16 is: 444,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,072.08 : 800,458.56 = 321,962.16 : x
  2. Step 2: Convert to fraction form
    580,072.08/800,458.56 = 321,962.16/x
  3. Step 3: Cross multiply
    580,072.08x = 800,458.56 × 321,962.16
  4. Step 4: Simplify right side
    580,072.08x = 257,717,366,968.09
  5. Step 5: Solve for x
    x = 257,717,366,968.09/580,072.08
  6. Step 6: Final answer
    x = 444,285.07

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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.