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Finding the Fourth Proportional to 382,039.79, 527,191.76 and 212,268.11

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Solution

The fourth proportional to 382,039.79, 527,191.76 and 212,268.11 is: 292,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,039.79 : 527,191.76 = 212,268.11 : x
  2. Step 2: Convert to fraction form
    382,039.79/527,191.76 = 212,268.11/x
  3. Step 3: Cross multiply
    382,039.79x = 527,191.76 × 212,268.11
  4. Step 4: Simplify right side
    382,039.79x = 111,905,997,441.43
  5. Step 5: Solve for x
    x = 111,905,997,441.43/382,039.79
  6. Step 6: Final answer
    x = 292,917.13

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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.