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Finding the Fourth Proportional to 385,242.90, 577,889.71 and 100,940.41

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Solution

The fourth proportional to 385,242.90, 577,889.71 and 100,940.41 is: 151,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,242.90 : 577,889.71 = 100,940.41 : x
  2. Step 2: Convert to fraction form
    385,242.90/577,889.71 = 100,940.41/x
  3. Step 3: Cross multiply
    385,242.90x = 577,889.71 × 100,940.41
  4. Step 4: Simplify right side
    385,242.90x = 58,332,424,262.18
  5. Step 5: Solve for x
    x = 58,332,424,262.18/385,242.90
  6. Step 6: Final answer
    x = 151,417.26

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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.