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Finding the Fourth Proportional to 331,824, 457,917.12 and 212,599.68

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Solution

The fourth proportional to 331,824, 457,917.12 and 212,599.68 is: 293,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,824 : 457,917.12 = 212,599.68 : x
  2. Step 2: Convert to fraction form
    331,824/457,917.12 = 212,599.68/x
  3. Step 3: Cross multiply
    331,824x = 457,917.12 × 212,599.68
  4. Step 4: Simplify right side
    331,824x = 97,353,033,178.52
  5. Step 5: Solve for x
    x = 97,353,033,178.52/331,824
  6. Step 6: Final answer
    x = 293,387.56

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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.