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Finding the Fourth Proportional to 381,421.52, 526,386.31 and 211,655.65

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Solution

The fourth proportional to 381,421.52, 526,386.31 and 211,655.65 is: 292,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,421.52 : 526,386.31 = 211,655.65 : x
  2. Step 2: Convert to fraction form
    381,421.52/526,386.31 = 211,655.65/x
  3. Step 3: Cross multiply
    381,421.52x = 526,386.31 × 211,655.65
  4. Step 4: Simplify right side
    381,421.52x = 111,412,634,749.05
  5. Step 5: Solve for x
    x = 111,412,634,749.05/381,421.52
  6. Step 6: Final answer
    x = 292,098.45

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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.