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Finding the Fourth Proportional to 381,431.34, 526,386.15 and 211,676.40

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Solution

The fourth proportional to 381,431.34, 526,386.15 and 211,676.40 is: 292,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,431.34 : 526,386.15 = 211,676.40 : x
  2. Step 2: Convert to fraction form
    381,431.34/526,386.15 = 211,676.40/x
  3. Step 3: Cross multiply
    381,431.34x = 526,386.15 × 211,676.40
  4. Step 4: Simplify right side
    381,431.34x = 111,423,525,241.86
  5. Step 5: Solve for x
    x = 111,423,525,241.86/381,431.34
  6. Step 6: Final answer
    x = 292,119.48

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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.