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Finding the Fourth Proportional to 384,056.88, 529,958.30 and 211,971.67

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Solution

The fourth proportional to 384,056.88, 529,958.30 and 211,971.67 is: 292,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,056.88 : 529,958.30 = 211,971.67 : x
  2. Step 2: Convert to fraction form
    384,056.88/529,958.30 = 211,971.67/x
  3. Step 3: Cross multiply
    384,056.88x = 529,958.30 × 211,971.67
  4. Step 4: Simplify right side
    384,056.88x = 112,336,143,496.61
  5. Step 5: Solve for x
    x = 112,336,143,496.61/384,056.88
  6. Step 6: Final answer
    x = 292,498.72

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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.