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Finding the Fourth Proportional to 378,274.88, 521,724.02 and 242,321.46

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Solution

The fourth proportional to 378,274.88, 521,724.02 and 242,321.46 is: 334,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,274.88 : 521,724.02 = 242,321.46 : x
  2. Step 2: Convert to fraction form
    378,274.88/521,724.02 = 242,321.46/x
  3. Step 3: Cross multiply
    378,274.88x = 521,724.02 × 242,321.46
  4. Step 4: Simplify right side
    378,274.88x = 126,424,925,031.86
  5. Step 5: Solve for x
    x = 126,424,925,031.86/378,274.88
  6. Step 6: Final answer
    x = 334,214.44

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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.