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Finding the Fourth Proportional to 647,841, 893,964.54 and 418,408.30

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Solution

The fourth proportional to 647,841, 893,964.54 and 418,408.30 is: 577,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,841 : 893,964.54 = 418,408.30 : x
  2. Step 2: Convert to fraction form
    647,841/893,964.54 = 418,408.30/x
  3. Step 3: Cross multiply
    647,841x = 893,964.54 × 418,408.30
  4. Step 4: Simplify right side
    647,841x = 374,042,183,441.68
  5. Step 5: Solve for x
    x = 374,042,183,441.68/647,841
  6. Step 6: Final answer
    x = 577,367.26

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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.