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Finding the Fourth Proportional to 388,133.92, 535,690 and 224,766.56

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Solution

The fourth proportional to 388,133.92, 535,690 and 224,766.56 is: 310,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,133.92 : 535,690 = 224,766.56 : x
  2. Step 2: Convert to fraction form
    388,133.92/535,690 = 224,766.56/x
  3. Step 3: Cross multiply
    388,133.92x = 535,690 × 224,766.56
  4. Step 4: Simplify right side
    388,133.92x = 120,405,198,526.40
  5. Step 5: Solve for x
    x = 120,405,198,526.40/388,133.92
  6. Step 6: Final answer
    x = 310,215.60

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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.