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Finding the Fourth Proportional to 463,146.38, 639,142.00 and 251,178.38

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Solution

The fourth proportional to 463,146.38, 639,142.00 and 251,178.38 is: 346,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,146.38 : 639,142.00 = 251,178.38 : x
  2. Step 2: Convert to fraction form
    463,146.38/639,142.00 = 251,178.38/x
  3. Step 3: Cross multiply
    463,146.38x = 639,142.00 × 251,178.38
  4. Step 4: Simplify right side
    463,146.38x = 160,538,648,326.30
  5. Step 5: Solve for x
    x = 160,538,648,326.30/463,146.38
  6. Step 6: Final answer
    x = 346,626.16

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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.