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Finding the Fourth Proportional to 381,303.15, 526,180.69 and 209,216.82

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Solution

The fourth proportional to 381,303.15, 526,180.69 and 209,216.82 is: 288,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,303.15 : 526,180.69 = 209,216.82 : x
  2. Step 2: Convert to fraction form
    381,303.15/526,180.69 = 209,216.82/x
  3. Step 3: Cross multiply
    381,303.15x = 526,180.69 × 209,216.82
  4. Step 4: Simplify right side
    381,303.15x = 110,085,852,941.90
  5. Step 5: Solve for x
    x = 110,085,852,941.90/381,303.15
  6. Step 6: Final answer
    x = 288,709.53

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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.