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Finding the Fourth Proportional to 512,126.28, 768,343.14 and 242,460

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Solution

The fourth proportional to 512,126.28, 768,343.14 and 242,460 is: 363,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,126.28 : 768,343.14 = 242,460 : x
  2. Step 2: Convert to fraction form
    512,126.28/768,343.14 = 242,460/x
  3. Step 3: Cross multiply
    512,126.28x = 768,343.14 × 242,460
  4. Step 4: Simplify right side
    512,126.28x = 186,292,477,724.40
  5. Step 5: Solve for x
    x = 186,292,477,724.40/512,126.28
  6. Step 6: Final answer
    x = 363,762.78

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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.