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Finding the Fourth Proportional to 384,015.38, 529,971.28 and 211,967.50

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Solution

The fourth proportional to 384,015.38, 529,971.28 and 211,967.50 is: 292,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,015.38 : 529,971.28 = 211,967.50 : x
  2. Step 2: Convert to fraction form
    384,015.38/529,971.28 = 211,967.50/x
  3. Step 3: Cross multiply
    384,015.38x = 529,971.28 × 211,967.50
  4. Step 4: Simplify right side
    384,015.38x = 112,336,686,233.56
  5. Step 5: Solve for x
    x = 112,336,686,233.56/384,015.38
  6. Step 6: Final answer
    x = 292,531.74

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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.