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Finding the Fourth Proportional to 512,966.66, 769,463.14 and 243,031.60

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Solution

The fourth proportional to 512,966.66, 769,463.14 and 243,031.60 is: 364,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,966.66 : 769,463.14 = 243,031.60 : x
  2. Step 2: Convert to fraction form
    512,966.66/769,463.14 = 243,031.60/x
  3. Step 3: Cross multiply
    512,966.66x = 769,463.14 × 243,031.60
  4. Step 4: Simplify right side
    512,966.66x = 187,003,858,055.22
  5. Step 5: Solve for x
    x = 187,003,858,055.22/512,966.66
  6. Step 6: Final answer
    x = 364,553.63

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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.