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Finding the Fourth Proportional to 381,475.46, 526,445.54 and 209,410.50

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Solution

The fourth proportional to 381,475.46, 526,445.54 and 209,410.50 is: 288,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,475.46 : 526,445.54 = 209,410.50 : x
  2. Step 2: Convert to fraction form
    381,475.46/526,445.54 = 209,410.50/x
  3. Step 3: Cross multiply
    381,475.46x = 526,445.54 × 209,410.50
  4. Step 4: Simplify right side
    381,475.46x = 110,243,223,754.17
  5. Step 5: Solve for x
    x = 110,243,223,754.17/381,475.46
  6. Step 6: Final answer
    x = 288,991.65

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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.