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Finding the Fourth Proportional to 465,424.30, 642,350.28 and 261,491

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Solution

The fourth proportional to 465,424.30, 642,350.28 and 261,491 is: 360,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,424.30 : 642,350.28 = 261,491 : x
  2. Step 2: Convert to fraction form
    465,424.30/642,350.28 = 261,491/x
  3. Step 3: Cross multiply
    465,424.30x = 642,350.28 × 261,491
  4. Step 4: Simplify right side
    465,424.30x = 167,968,817,067.48
  5. Step 5: Solve for x
    x = 167,968,817,067.48/465,424.30
  6. Step 6: Final answer
    x = 360,893.96

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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.