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Finding the Fourth Proportional to 388,262.29, 535,796.84 and 224,941.06

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Solution

The fourth proportional to 388,262.29, 535,796.84 and 224,941.06 is: 310,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,262.29 : 535,796.84 = 224,941.06 : x
  2. Step 2: Convert to fraction form
    388,262.29/535,796.84 = 224,941.06/x
  3. Step 3: Cross multiply
    388,262.29x = 535,796.84 × 224,941.06
  4. Step 4: Simplify right side
    388,262.29x = 120,522,708,571.90
  5. Step 5: Solve for x
    x = 120,522,708,571.90/388,262.29
  6. Step 6: Final answer
    x = 310,415.69

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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.