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Finding the Fourth Proportional to 463,468.33, 639,238.12 and 310,678.84

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Solution

The fourth proportional to 463,468.33, 639,238.12 and 310,678.84 is: 428,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,468.33 : 639,238.12 = 310,678.84 : x
  2. Step 2: Convert to fraction form
    463,468.33/639,238.12 = 310,678.84/x
  3. Step 3: Cross multiply
    463,468.33x = 639,238.12 × 310,678.84
  4. Step 4: Simplify right side
    463,468.33x = 198,597,757,605.38
  5. Step 5: Solve for x
    x = 198,597,757,605.38/463,468.33
  6. Step 6: Final answer
    x = 428,503.41

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1.5x scale

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.