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Finding the Fourth Proportional to 381,708.40, 526,708.02 and 211,909.72

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Solution

The fourth proportional to 381,708.40, 526,708.02 and 211,909.72 is: 292,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,708.40 : 526,708.02 = 211,909.72 : x
  2. Step 2: Convert to fraction form
    381,708.40/526,708.02 = 211,909.72/x
  3. Step 3: Cross multiply
    381,708.40x = 526,708.02 × 211,909.72
  4. Step 4: Simplify right side
    381,708.40x = 111,614,549,039.95
  5. Step 5: Solve for x
    x = 111,614,549,039.95/381,708.40
  6. Step 6: Final answer
    x = 292,407.89

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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.