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Finding the Fourth Proportional to 381,783.48, 526,877.10 and 212,019

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Solution

The fourth proportional to 381,783.48, 526,877.10 and 212,019 is: 292,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,783.48 : 526,877.10 = 212,019 : x
  2. Step 2: Convert to fraction form
    381,783.48/526,877.10 = 212,019/x
  3. Step 3: Cross multiply
    381,783.48x = 526,877.10 × 212,019
  4. Step 4: Simplify right side
    381,783.48x = 111,707,955,864.90
  5. Step 5: Solve for x
    x = 111,707,955,864.90/381,783.48
  6. Step 6: Final answer
    x = 292,595.05

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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.