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Finding the Fourth Proportional to 512,123.25, 768,338.64 and 242,456.97

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Solution

The fourth proportional to 512,123.25, 768,338.64 and 242,456.97 is: 363,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,123.25 : 768,338.64 = 242,456.97 : x
  2. Step 2: Convert to fraction form
    512,123.25/768,338.64 = 242,456.97/x
  3. Step 3: Cross multiply
    512,123.25x = 768,338.64 × 242,456.97
  4. Step 4: Simplify right side
    512,123.25x = 186,289,058,588.32
  5. Step 5: Solve for x
    x = 186,289,058,588.32/512,123.25
  6. Step 6: Final answer
    x = 363,758.25

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1.5x scale

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.