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Finding the Fourth Proportional to 458,080.42, 631,888.34 and 285,699.11

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Solution

The fourth proportional to 458,080.42, 631,888.34 and 285,699.11 is: 394,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,080.42 : 631,888.34 = 285,699.11 : x
  2. Step 2: Convert to fraction form
    458,080.42/631,888.34 = 285,699.11/x
  3. Step 3: Cross multiply
    458,080.42x = 631,888.34 × 285,699.11
  4. Step 4: Simplify right side
    458,080.42x = 180,529,936,357.38
  5. Step 5: Solve for x
    x = 180,529,936,357.38/458,080.42
  6. Step 6: Final answer
    x = 394,100.97

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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.