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Finding the Fourth Proportional to 465,372.07, 642,143.50 and 261,383.90

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Solution

The fourth proportional to 465,372.07, 642,143.50 and 261,383.90 is: 360,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,372.07 : 642,143.50 = 261,383.90 : x
  2. Step 2: Convert to fraction form
    465,372.07/642,143.50 = 261,383.90/x
  3. Step 3: Cross multiply
    465,372.07x = 642,143.50 × 261,383.90
  4. Step 4: Simplify right side
    465,372.07x = 167,845,968,525.47
  5. Step 5: Solve for x
    x = 167,845,968,525.47/465,372.07
  6. Step 6: Final answer
    x = 360,670.48

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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.