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Finding the Fourth Proportional to 381,657.62, 526,666.96 and 211,880.81

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Solution

The fourth proportional to 381,657.62, 526,666.96 and 211,880.81 is: 292,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,657.62 : 526,666.96 = 211,880.81 : x
  2. Step 2: Convert to fraction form
    381,657.62/526,666.96 = 211,880.81/x
  3. Step 3: Cross multiply
    381,657.62x = 526,666.96 × 211,880.81
  4. Step 4: Simplify right side
    381,657.62x = 111,590,623,666.56
  5. Step 5: Solve for x
    x = 111,590,623,666.56/381,657.62
  6. Step 6: Final answer
    x = 292,384.11

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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.