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Finding the Fourth Proportional to 289,408.48, 433,587.84 and 213,694.54

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Solution

The fourth proportional to 289,408.48, 433,587.84 and 213,694.54 is: 320,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,408.48 : 433,587.84 = 213,694.54 : x
  2. Step 2: Convert to fraction form
    289,408.48/433,587.84 = 213,694.54/x
  3. Step 3: Cross multiply
    289,408.48x = 433,587.84 × 213,694.54
  4. Step 4: Simplify right side
    289,408.48x = 92,655,354,018.39
  5. Step 5: Solve for x
    x = 92,655,354,018.39/289,408.48
  6. Step 6: Final answer
    x = 320,154.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.