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Finding the Fourth Proportional to 465,842.36, 642,858.59 and 261,894.20

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Solution

The fourth proportional to 465,842.36, 642,858.59 and 261,894.20 is: 361,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,842.36 : 642,858.59 = 261,894.20 : x
  2. Step 2: Convert to fraction form
    465,842.36/642,858.59 = 261,894.20/x
  3. Step 3: Cross multiply
    465,842.36x = 642,858.59 × 261,894.20
  4. Step 4: Simplify right side
    465,842.36x = 168,360,933,581.62
  5. Step 5: Solve for x
    x = 168,360,933,581.62/465,842.36
  6. Step 6: Final answer
    x = 361,411.81

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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.