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Finding the Fourth Proportional to 381,394.88, 526,339 and 209,318.08

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Solution

The fourth proportional to 381,394.88, 526,339 and 209,318.08 is: 288,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,394.88 : 526,339 = 209,318.08 : x
  2. Step 2: Convert to fraction form
    381,394.88/526,339 = 209,318.08/x
  3. Step 3: Cross multiply
    381,394.88x = 526,339 × 209,318.08
  4. Step 4: Simplify right side
    381,394.88x = 110,172,268,909.12
  5. Step 5: Solve for x
    x = 110,172,268,909.12/381,394.88
  6. Step 6: Final answer
    x = 288,866.67

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1.5x scale

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.