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Finding the Fourth Proportional to 384,084.94, 529,958.10 and 220,709.86

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Solution

The fourth proportional to 384,084.94, 529,958.10 and 220,709.86 is: 304,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,084.94 : 529,958.10 = 220,709.86 : x
  2. Step 2: Convert to fraction form
    384,084.94/529,958.10 = 220,709.86/x
  3. Step 3: Cross multiply
    384,084.94x = 529,958.10 × 220,709.86
  4. Step 4: Simplify right side
    384,084.94x = 116,966,978,056.87
  5. Step 5: Solve for x
    x = 116,966,978,056.87/384,084.94
  6. Step 6: Final answer
    x = 304,534.14

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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.