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Finding the Fourth Proportional to 384,056.91, 529,958.34 and 211,971.71

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Solution

The fourth proportional to 384,056.91, 529,958.34 and 211,971.71 is: 292,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,056.91 : 529,958.34 = 211,971.71 : x
  2. Step 2: Convert to fraction form
    384,056.91/529,958.34 = 211,971.71/x
  3. Step 3: Cross multiply
    384,056.91x = 529,958.34 × 211,971.71
  4. Step 4: Simplify right side
    384,056.91x = 112,336,172,908.77
  5. Step 5: Solve for x
    x = 112,336,172,908.77/384,056.91
  6. Step 6: Final answer
    x = 292,498.77

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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.