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Finding the Fourth Proportional to 381,420.47, 526,366.92 and 209,354.52

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Solution

The fourth proportional to 381,420.47, 526,366.92 and 209,354.52 is: 288,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,420.47 : 526,366.92 = 209,354.52 : x
  2. Step 2: Convert to fraction form
    381,420.47/526,366.92 = 209,354.52/x
  3. Step 3: Cross multiply
    381,420.47x = 526,366.92 × 209,354.52
  4. Step 4: Simplify right side
    381,420.47x = 110,197,293,880.48
  5. Step 5: Solve for x
    x = 110,197,293,880.48/381,420.47
  6. Step 6: Final answer
    x = 288,912.90

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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.