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Finding the Fourth Proportional to 515,898.54, 773,147.91 and 291,147.84

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Solution

The fourth proportional to 515,898.54, 773,147.91 and 291,147.84 is: 436,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,898.54 : 773,147.91 = 291,147.84 : x
  2. Step 2: Convert to fraction form
    515,898.54/773,147.91 = 291,147.84/x
  3. Step 3: Cross multiply
    515,898.54x = 773,147.91 × 291,147.84
  4. Step 4: Simplify right side
    515,898.54x = 225,100,343,997.01
  5. Step 5: Solve for x
    x = 225,100,343,997.01/515,898.54
  6. Step 6: Final answer
    x = 436,326.77

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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.