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Finding the Fourth Proportional to 385,243.90, 577,891.21 and 100,941.41

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Solution

The fourth proportional to 385,243.90, 577,891.21 and 100,941.41 is: 151,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,243.90 : 577,891.21 = 100,941.41 : x
  2. Step 2: Convert to fraction form
    385,243.90/577,891.21 = 100,941.41/x
  3. Step 3: Cross multiply
    385,243.90x = 577,891.21 × 100,941.41
  4. Step 4: Simplify right side
    385,243.90x = 58,333,153,564.01
  5. Step 5: Solve for x
    x = 58,333,153,564.01/385,243.90
  6. Step 6: Final answer
    x = 151,418.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.