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Finding the Fourth Proportional to 381,303.63, 526,181.40 and 209,217.31

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Solution

The fourth proportional to 381,303.63, 526,181.40 and 209,217.31 is: 288,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,303.63 : 526,181.40 = 209,217.31 : x
  2. Step 2: Convert to fraction form
    381,303.63/526,181.40 = 209,217.31/x
  3. Step 3: Cross multiply
    381,303.63x = 526,181.40 × 209,217.31
  4. Step 4: Simplify right side
    381,303.63x = 110,086,254,449.13
  5. Step 5: Solve for x
    x = 110,086,254,449.13/381,303.63
  6. Step 6: Final answer
    x = 288,710.22

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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.