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Finding the Fourth Proportional to 384,009.80, 529,932.43 and 211,926.52

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Solution

The fourth proportional to 384,009.80, 529,932.43 and 211,926.52 is: 292,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,009.80 : 529,932.43 = 211,926.52 : x
  2. Step 2: Convert to fraction form
    384,009.80/529,932.43 = 211,926.52/x
  3. Step 3: Cross multiply
    384,009.80x = 529,932.43 × 211,926.52
  4. Step 4: Simplify right side
    384,009.80x = 112,306,735,725.04
  5. Step 5: Solve for x
    x = 112,306,735,725.04/384,009.80
  6. Step 6: Final answer
    x = 292,457.99

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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.