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Finding the Fourth Proportional to 313,992, 433,308.96 and 179,864.64

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Solution

The fourth proportional to 313,992, 433,308.96 and 179,864.64 is: 248,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,992 : 433,308.96 = 179,864.64 : x
  2. Step 2: Convert to fraction form
    313,992/433,308.96 = 179,864.64/x
  3. Step 3: Cross multiply
    313,992x = 433,308.96 × 179,864.64
  4. Step 4: Simplify right side
    313,992x = 77,936,960,099.17
  5. Step 5: Solve for x
    x = 77,936,960,099.17/313,992
  6. Step 6: Final answer
    x = 248,213.20

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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.