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Finding the Fourth Proportional to 384,030.63, 529,958.43 and 211,950.18

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Solution

The fourth proportional to 384,030.63, 529,958.43 and 211,950.18 is: 292,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,030.63 : 529,958.43 = 211,950.18 : x
  2. Step 2: Convert to fraction form
    384,030.63/529,958.43 = 211,950.18/x
  3. Step 3: Cross multiply
    384,030.63x = 529,958.43 × 211,950.18
  4. Step 4: Simplify right side
    384,030.63x = 112,324,784,631.02
  5. Step 5: Solve for x
    x = 112,324,784,631.02/384,030.63
  6. Step 6: Final answer
    x = 292,489.13

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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.