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Finding the Fourth Proportional to 391,639.50, 540,465.75 and 212,791.50

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Solution

The fourth proportional to 391,639.50, 540,465.75 and 212,791.50 is: 293,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,639.50 : 540,465.75 = 212,791.50 : x
  2. Step 2: Convert to fraction form
    391,639.50/540,465.75 = 212,791.50/x
  3. Step 3: Cross multiply
    391,639.50x = 540,465.75 × 212,791.50
  4. Step 4: Simplify right side
    391,639.50x = 115,006,517,641.13
  5. Step 5: Solve for x
    x = 115,006,517,641.13/391,639.50
  6. Step 6: Final answer
    x = 293,654.03

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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.