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Finding the Fourth Proportional to 465,858.88, 642,997.92 and 434,340.16

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Solution

The fourth proportional to 465,858.88, 642,997.92 and 434,340.16 is: 599,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,858.88 : 642,997.92 = 434,340.16 : x
  2. Step 2: Convert to fraction form
    465,858.88/642,997.92 = 434,340.16/x
  3. Step 3: Cross multiply
    465,858.88x = 642,997.92 × 434,340.16
  4. Step 4: Simplify right side
    465,858.88x = 279,279,819,452.47
  5. Step 5: Solve for x
    x = 279,279,819,452.47/465,858.88
  6. Step 6: Final answer
    x = 599,494.46

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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.